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Finding the Fourth Proportional to 204,866.96, 282,734.98 and 124,314.90

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Solution

The fourth proportional to 204,866.96, 282,734.98 and 124,314.90 is: 171,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,866.96 : 282,734.98 = 124,314.90 : x
  2. Step 2: Convert to fraction form
    204,866.96/282,734.98 = 124,314.90/x
  3. Step 3: Cross multiply
    204,866.96x = 282,734.98 × 124,314.90
  4. Step 4: Simplify right side
    204,866.96x = 35,148,170,765.20
  5. Step 5: Solve for x
    x = 35,148,170,765.20/204,866.96
  6. Step 6: Final answer
    x = 171,565.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.