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Finding the Fourth Proportional to 138,854.10, 208,232.55 and 72,272.10

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Solution

The fourth proportional to 138,854.10, 208,232.55 and 72,272.10 is: 108,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,854.10 : 208,232.55 = 72,272.10 : x
  2. Step 2: Convert to fraction form
    138,854.10/208,232.55 = 72,272.10/x
  3. Step 3: Cross multiply
    138,854.10x = 208,232.55 × 72,272.10
  4. Step 4: Simplify right side
    138,854.10x = 15,049,403,676.86
  5. Step 5: Solve for x
    x = 15,049,403,676.86/138,854.10
  6. Step 6: Final answer
    x = 108,382.85

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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.