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Finding the Fourth Proportional to 150,520.64, 207,730.72 and 83,451.20

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Solution

The fourth proportional to 150,520.64, 207,730.72 and 83,451.20 is: 115,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,520.64 : 207,730.72 = 83,451.20 : x
  2. Step 2: Convert to fraction form
    150,520.64/207,730.72 = 83,451.20/x
  3. Step 3: Cross multiply
    150,520.64x = 207,730.72 × 83,451.20
  4. Step 4: Simplify right side
    150,520.64x = 17,335,377,860.86
  5. Step 5: Solve for x
    x = 17,335,377,860.86/150,520.64
  6. Step 6: Final answer
    x = 115,169.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.