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Finding the Fourth Proportional to 202,640.97, 279,678.55 and 137,200.10

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Solution

The fourth proportional to 202,640.97, 279,678.55 and 137,200.10 is: 189,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,640.97 : 279,678.55 = 137,200.10 : x
  2. Step 2: Convert to fraction form
    202,640.97/279,678.55 = 137,200.10/x
  3. Step 3: Cross multiply
    202,640.97x = 279,678.55 × 137,200.10
  4. Step 4: Simplify right side
    202,640.97x = 38,371,925,517.62
  5. Step 5: Solve for x
    x = 38,371,925,517.62/202,640.97
  6. Step 6: Final answer
    x = 189,359.17

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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.