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Finding the Fourth Proportional to 172,227.16, 257,966.90 and 83,294.18

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Solution

The fourth proportional to 172,227.16, 257,966.90 and 83,294.18 is: 124,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,227.16 : 257,966.90 = 83,294.18 : x
  2. Step 2: Convert to fraction form
    172,227.16/257,966.90 = 83,294.18/x
  3. Step 3: Cross multiply
    172,227.16x = 257,966.90 × 83,294.18
  4. Step 4: Simplify right side
    172,227.16x = 21,487,141,402.64
  5. Step 5: Solve for x
    x = 21,487,141,402.64/172,227.16
  6. Step 6: Final answer
    x = 124,760.47

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1.5x scale

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.