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Finding the Fourth Proportional to 137,792.75, 206,689.12 and 44,298.50

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Solution

The fourth proportional to 137,792.75, 206,689.12 and 44,298.50 is: 66,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,792.75 : 206,689.12 = 44,298.50 : x
  2. Step 2: Convert to fraction form
    137,792.75/206,689.12 = 44,298.50/x
  3. Step 3: Cross multiply
    137,792.75x = 206,689.12 × 44,298.50
  4. Step 4: Simplify right side
    137,792.75x = 9,156,016,838.13
  5. Step 5: Solve for x
    x = 9,156,016,838.13/137,792.75
  6. Step 6: Final answer
    x = 66,447.74

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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.