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Finding the Fourth Proportional to 200,533.08, 300,800.15 and 50,773.40

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Solution

The fourth proportional to 200,533.08, 300,800.15 and 50,773.40 is: 76,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,533.08 : 300,800.15 = 50,773.40 : x
  2. Step 2: Convert to fraction form
    200,533.08/300,800.15 = 50,773.40/x
  3. Step 3: Cross multiply
    200,533.08x = 300,800.15 × 50,773.40
  4. Step 4: Simplify right side
    200,533.08x = 15,272,645,896.54
  5. Step 5: Solve for x
    x = 15,272,645,896.54/200,533.08
  6. Step 6: Final answer
    x = 76,160.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.