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Finding the Fourth Proportional to 137,716.10, 206,574.15 and 71,134.10

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Solution

The fourth proportional to 137,716.10, 206,574.15 and 71,134.10 is: 106,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,716.10 : 206,574.15 = 71,134.10 : x
  2. Step 2: Convert to fraction form
    137,716.10/206,574.15 = 71,134.10/x
  3. Step 3: Cross multiply
    137,716.10x = 206,574.15 × 71,134.10
  4. Step 4: Simplify right side
    137,716.10x = 14,694,466,243.52
  5. Step 5: Solve for x
    x = 14,694,466,243.52/137,716.10
  6. Step 6: Final answer
    x = 106,701.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.