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Finding the Fourth Proportional to 239,214.96, 358,484.14 and 132,645.86

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Solution

The fourth proportional to 239,214.96, 358,484.14 and 132,645.86 is: 198,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,214.96 : 358,484.14 = 132,645.86 : x
  2. Step 2: Convert to fraction form
    239,214.96/358,484.14 = 132,645.86/x
  3. Step 3: Cross multiply
    239,214.96x = 358,484.14 × 132,645.86
  4. Step 4: Simplify right side
    239,214.96x = 47,551,437,046.66
  5. Step 5: Solve for x
    x = 47,551,437,046.66/239,214.96
  6. Step 6: Final answer
    x = 198,781.20

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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.