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Finding the Fourth Proportional to 206,139.52, 284,414.52 and 125,569.36

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Solution

The fourth proportional to 206,139.52, 284,414.52 and 125,569.36 is: 173,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,139.52 : 284,414.52 = 125,569.36 : x
  2. Step 2: Convert to fraction form
    206,139.52/284,414.52 = 125,569.36/x
  3. Step 3: Cross multiply
    206,139.52x = 284,414.52 × 125,569.36
  4. Step 4: Simplify right side
    206,139.52x = 35,713,749,251.11
  5. Step 5: Solve for x
    x = 35,713,749,251.11/206,139.52
  6. Step 6: Final answer
    x = 173,250.38

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1.5x scale

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.