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Finding the Fourth Proportional to 206,809.71, 285,510.99 and 125,153.20

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Solution

The fourth proportional to 206,809.71, 285,510.99 and 125,153.20 is: 172,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,809.71 : 285,510.99 = 125,153.20 : x
  2. Step 2: Convert to fraction form
    206,809.71/285,510.99 = 125,153.20/x
  3. Step 3: Cross multiply
    206,809.71x = 285,510.99 × 125,153.20
  4. Step 4: Simplify right side
    206,809.71x = 35,732,614,033.67
  5. Step 5: Solve for x
    x = 35,732,614,033.67/206,809.71
  6. Step 6: Final answer
    x = 172,780.16

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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.