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Finding the Fourth Proportional to 200,762.64, 277,057.68 and 110,122.56

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Solution

The fourth proportional to 200,762.64, 277,057.68 and 110,122.56 is: 151,972.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,762.64 : 277,057.68 = 110,122.56 : x
  2. Step 2: Convert to fraction form
    200,762.64/277,057.68 = 110,122.56/x
  3. Step 3: Cross multiply
    200,762.64x = 277,057.68 × 110,122.56
  4. Step 4: Simplify right side
    200,762.64x = 30,510,300,989.26
  5. Step 5: Solve for x
    x = 30,510,300,989.26/200,762.64
  6. Step 6: Final answer
    x = 151,972.01

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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.