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Finding the Fourth Proportional to 96,565.60, 144,848.40 and 81,839.80

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Solution

The fourth proportional to 96,565.60, 144,848.40 and 81,839.80 is: 122,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,565.60 : 144,848.40 = 81,839.80 : x
  2. Step 2: Convert to fraction form
    96,565.60/144,848.40 = 81,839.80/x
  3. Step 3: Cross multiply
    96,565.60x = 144,848.40 × 81,839.80
  4. Step 4: Simplify right side
    96,565.60x = 11,854,364,086.32
  5. Step 5: Solve for x
    x = 11,854,364,086.32/96,565.60
  6. Step 6: Final answer
    x = 122,759.70

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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.