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Finding the Fourth Proportional to 273,550.80, 410,285.14 and 86,538

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Solution

The fourth proportional to 273,550.80, 410,285.14 and 86,538 is: 129,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,550.80 : 410,285.14 = 86,538 : x
  2. Step 2: Convert to fraction form
    273,550.80/410,285.14 = 86,538/x
  3. Step 3: Cross multiply
    273,550.80x = 410,285.14 × 86,538
  4. Step 4: Simplify right side
    273,550.80x = 35,505,255,445.32
  5. Step 5: Solve for x
    x = 35,505,255,445.32/273,550.80
  6. Step 6: Final answer
    x = 129,794.01

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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.