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Finding the Fourth Proportional to 185,398.92, 278,073.70 and 52,289.86

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Solution

The fourth proportional to 185,398.92, 278,073.70 and 52,289.86 is: 78,427.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,398.92 : 278,073.70 = 52,289.86 : x
  2. Step 2: Convert to fraction form
    185,398.92/278,073.70 = 52,289.86/x
  3. Step 3: Cross multiply
    185,398.92x = 278,073.70 × 52,289.86
  4. Step 4: Simplify right side
    185,398.92x = 14,540,434,842.68
  5. Step 5: Solve for x
    x = 14,540,434,842.68/185,398.92
  6. Step 6: Final answer
    x = 78,427.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.