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Finding the Fourth Proportional to 280,098.12, 386,540.65 and 152,778.27

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Solution

The fourth proportional to 280,098.12, 386,540.65 and 152,778.27 is: 210,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,098.12 : 386,540.65 = 152,778.27 : x
  2. Step 2: Convert to fraction form
    280,098.12/386,540.65 = 152,778.27/x
  3. Step 3: Cross multiply
    280,098.12x = 386,540.65 × 152,778.27
  4. Step 4: Simplify right side
    280,098.12x = 59,055,011,791.68
  5. Step 5: Solve for x
    x = 59,055,011,791.68/280,098.12
  6. Step 6: Final answer
    x = 210,836.87

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