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Finding the Fourth Proportional to 96,577.60, 144,520.80 and 88,283.20

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Solution

The fourth proportional to 96,577.60, 144,520.80 and 88,283.20 is: 132,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,577.60 : 144,520.80 = 88,283.20 : x
  2. Step 2: Convert to fraction form
    96,577.60/144,520.80 = 88,283.20/x
  3. Step 3: Cross multiply
    96,577.60x = 144,520.80 × 88,283.20
  4. Step 4: Simplify right side
    96,577.60x = 12,758,758,690.56
  5. Step 5: Solve for x
    x = 12,758,758,690.56/96,577.60
  6. Step 6: Final answer
    x = 132,108.88

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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.