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Finding the Fourth Proportional to 96,238.60, 144,357.90 and 29,672.80

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Solution

The fourth proportional to 96,238.60, 144,357.90 and 29,672.80 is: 44,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,238.60 : 144,357.90 = 29,672.80 : x
  2. Step 2: Convert to fraction form
    96,238.60/144,357.90 = 29,672.80/x
  3. Step 3: Cross multiply
    96,238.60x = 144,357.90 × 29,672.80
  4. Step 4: Simplify right side
    96,238.60x = 4,283,503,095.12
  5. Step 5: Solve for x
    x = 4,283,503,095.12/96,238.60
  6. Step 6: Final answer
    x = 44,509.20

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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.