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Finding the Fourth Proportional to 96,569.60, 144,854.40 and 81,843.80

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Solution

The fourth proportional to 96,569.60, 144,854.40 and 81,843.80 is: 122,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,569.60 : 144,854.40 = 81,843.80 : x
  2. Step 2: Convert to fraction form
    96,569.60/144,854.40 = 81,843.80/x
  3. Step 3: Cross multiply
    96,569.60x = 144,854.40 × 81,843.80
  4. Step 4: Simplify right side
    96,569.60x = 11,855,434,542.72
  5. Step 5: Solve for x
    x = 11,855,434,542.72/96,569.60
  6. Step 6: Final answer
    x = 122,765.70

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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.