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Finding the Fourth Proportional to 205,120.56, 307,641.78 and 86,874.96

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Solution

The fourth proportional to 205,120.56, 307,641.78 and 86,874.96 is: 130,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,120.56 : 307,641.78 = 86,874.96 : x
  2. Step 2: Convert to fraction form
    205,120.56/307,641.78 = 86,874.96/x
  3. Step 3: Cross multiply
    205,120.56x = 307,641.78 × 86,874.96
  4. Step 4: Simplify right side
    205,120.56x = 26,726,367,331.83
  5. Step 5: Solve for x
    x = 26,726,367,331.83/205,120.56
  6. Step 6: Final answer
    x = 130,295.90

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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.