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Finding the Fourth Proportional to 137,470.28, 206,147.06 and 48,746.12

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Solution

The fourth proportional to 137,470.28, 206,147.06 and 48,746.12 is: 73,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,470.28 : 206,147.06 = 48,746.12 : x
  2. Step 2: Convert to fraction form
    137,470.28/206,147.06 = 48,746.12/x
  3. Step 3: Cross multiply
    137,470.28x = 206,147.06 × 48,746.12
  4. Step 4: Simplify right side
    137,470.28x = 10,048,869,324.41
  5. Step 5: Solve for x
    x = 10,048,869,324.41/137,470.28
  6. Step 6: Final answer
    x = 73,098.49

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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.