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Finding the Fourth Proportional to 96,513.60, 144,763.20 and 40,339.20

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Solution

The fourth proportional to 96,513.60, 144,763.20 and 40,339.20 is: 60,505.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,513.60 : 144,763.20 = 40,339.20 : x
  2. Step 2: Convert to fraction form
    96,513.60/144,763.20 = 40,339.20/x
  3. Step 3: Cross multiply
    96,513.60x = 144,763.20 × 40,339.20
  4. Step 4: Simplify right side
    96,513.60x = 5,839,631,677.44
  5. Step 5: Solve for x
    x = 5,839,631,677.44/96,513.60
  6. Step 6: Final answer
    x = 60,505.79

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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.