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Finding the Fourth Proportional to 206,126.74, 284,390.32 and 115,470.46

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Solution

The fourth proportional to 206,126.74, 284,390.32 and 115,470.46 is: 159,313.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,126.74 : 284,390.32 = 115,470.46 : x
  2. Step 2: Convert to fraction form
    206,126.74/284,390.32 = 115,470.46/x
  3. Step 3: Cross multiply
    206,126.74x = 284,390.32 × 115,470.46
  4. Step 4: Simplify right side
    206,126.74x = 32,838,681,069.95
  5. Step 5: Solve for x
    x = 32,838,681,069.95/206,126.74
  6. Step 6: Final answer
    x = 159,313.06

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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.