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Finding the Fourth Proportional to 206,965.17, 285,614.51 and 125,292.34

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Solution

The fourth proportional to 206,965.17, 285,614.51 and 125,292.34 is: 172,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,965.17 : 285,614.51 = 125,292.34 : x
  2. Step 2: Convert to fraction form
    206,965.17/285,614.51 = 125,292.34/x
  3. Step 3: Cross multiply
    206,965.17x = 285,614.51 × 125,292.34
  4. Step 4: Simplify right side
    206,965.17x = 35,785,310,026.41
  5. Step 5: Solve for x
    x = 35,785,310,026.41/206,965.17
  6. Step 6: Final answer
    x = 172,904.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.