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Finding the Fourth Proportional to 206,409.58, 284,724.24 and 129,807.17

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Solution

The fourth proportional to 206,409.58, 284,724.24 and 129,807.17 is: 179,057.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,409.58 : 284,724.24 = 129,807.17 : x
  2. Step 2: Convert to fraction form
    206,409.58/284,724.24 = 129,807.17/x
  3. Step 3: Cross multiply
    206,409.58x = 284,724.24 × 129,807.17
  4. Step 4: Simplify right side
    206,409.58x = 36,959,245,752.14
  5. Step 5: Solve for x
    x = 36,959,245,752.14/206,409.58
  6. Step 6: Final answer
    x = 179,057.81

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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.