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Finding the Fourth Proportional to 165,077.20, 247,615.80 and 138,833.20

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Solution

The fourth proportional to 165,077.20, 247,615.80 and 138,833.20 is: 208,249.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,077.20 : 247,615.80 = 138,833.20 : x
  2. Step 2: Convert to fraction form
    165,077.20/247,615.80 = 138,833.20/x
  3. Step 3: Cross multiply
    165,077.20x = 247,615.80 × 138,833.20
  4. Step 4: Simplify right side
    165,077.20x = 34,377,293,884.56
  5. Step 5: Solve for x
    x = 34,377,293,884.56/165,077.20
  6. Step 6: Final answer
    x = 208,249.80

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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.