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Finding the Fourth Proportional to 206,146.52, 284,417.54 and 115,490.20

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Solution

The fourth proportional to 206,146.52, 284,417.54 and 115,490.20 is: 159,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,146.52 : 284,417.54 = 115,490.20 : x
  2. Step 2: Convert to fraction form
    206,146.52/284,417.54 = 115,490.20/x
  3. Step 3: Cross multiply
    206,146.52x = 284,417.54 × 115,490.20
  4. Step 4: Simplify right side
    206,146.52x = 32,847,438,578.11
  5. Step 5: Solve for x
    x = 32,847,438,578.11/206,146.52
  6. Step 6: Final answer
    x = 159,340.25

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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.