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Finding the Fourth Proportional to 137,715.48, 206,517.62 and 53,431.32

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Solution

The fourth proportional to 137,715.48, 206,517.62 and 53,431.32 is: 80,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,715.48 : 206,517.62 = 53,431.32 : x
  2. Step 2: Convert to fraction form
    137,715.48/206,517.62 = 53,431.32/x
  3. Step 3: Cross multiply
    137,715.48x = 206,517.62 × 53,431.32
  4. Step 4: Simplify right side
    137,715.48x = 11,034,509,039.86
  5. Step 5: Solve for x
    x = 11,034,509,039.86/137,715.48
  6. Step 6: Final answer
    x = 80,125.41

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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.