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Finding the Fourth Proportional to 137,886.49, 206,778.70 and 49,116.43

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Solution

The fourth proportional to 137,886.49, 206,778.70 and 49,116.43 is: 73,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,886.49 : 206,778.70 = 49,116.43 : x
  2. Step 2: Convert to fraction form
    137,886.49/206,778.70 = 49,116.43/x
  3. Step 3: Cross multiply
    137,886.49x = 206,778.70 × 49,116.43
  4. Step 4: Simplify right side
    137,886.49x = 10,156,231,544.04
  5. Step 5: Solve for x
    x = 10,156,231,544.04/137,886.49
  6. Step 6: Final answer
    x = 73,656.47

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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.