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Finding the Fourth Proportional to 200,734,533.64, 277,018,432.96 and 112,635,047.24

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Solution

The fourth proportional to 200,734,533.64, 277,018,432.96 and 112,635,047.24 is: 155,439,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734,533.64 : 277,018,432.96 = 112,635,047.24 : x
  2. Step 2: Convert to fraction form
    200,734,533.64/277,018,432.96 = 112,635,047.24/x
  3. Step 3: Cross multiply
    200,734,533.64x = 277,018,432.96 × 112,635,047.24
  4. Step 4: Simplify right side
    200,734,533.64x = 31,201,984,282,800,368
  5. Step 5: Solve for x
    x = 31,201,984,282,800,368/200,734,533.64
  6. Step 6: Final answer
    x = 155,439,045.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.