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Finding the Fourth Proportional to 137,624.50, 206,471.43 and 39,128.50

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Solution

The fourth proportional to 137,624.50, 206,471.43 and 39,128.50 is: 58,702.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,624.50 : 206,471.43 = 39,128.50 : x
  2. Step 2: Convert to fraction form
    137,624.50/206,471.43 = 39,128.50/x
  3. Step 3: Cross multiply
    137,624.50x = 206,471.43 × 39,128.50
  4. Step 4: Simplify right side
    137,624.50x = 8,078,917,348.76
  5. Step 5: Solve for x
    x = 8,078,917,348.76/137,624.50
  6. Step 6: Final answer
    x = 58,702.61

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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.