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Finding the Fourth Proportional to 137,665.86, 206,520.39 and 58,780.50

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Solution

The fourth proportional to 137,665.86, 206,520.39 and 58,780.50 is: 88,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,665.86 : 206,520.39 = 58,780.50 : x
  2. Step 2: Convert to fraction form
    137,665.86/206,520.39 = 58,780.50/x
  3. Step 3: Cross multiply
    137,665.86x = 206,520.39 × 58,780.50
  4. Step 4: Simplify right side
    137,665.86x = 12,139,371,784.40
  5. Step 5: Solve for x
    x = 12,139,371,784.40/137,665.86
  6. Step 6: Final answer
    x = 88,179.97

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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.