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Finding the Fourth Proportional to 137,705.14, 206,557.70 and 44,276.50

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Solution

The fourth proportional to 137,705.14, 206,557.70 and 44,276.50 is: 66,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,705.14 : 206,557.70 = 44,276.50 : x
  2. Step 2: Convert to fraction form
    137,705.14/206,557.70 = 44,276.50/x
  3. Step 3: Cross multiply
    137,705.14x = 206,557.70 × 44,276.50
  4. Step 4: Simplify right side
    137,705.14x = 9,145,652,004.05
  5. Step 5: Solve for x
    x = 9,145,652,004.05/137,705.14
  6. Step 6: Final answer
    x = 66,414.75

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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.