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Finding the Fourth Proportional to 135,046.20, 202,569.30 and 36,550.20

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Solution

The fourth proportional to 135,046.20, 202,569.30 and 36,550.20 is: 54,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,046.20 : 202,569.30 = 36,550.20 : x
  2. Step 2: Convert to fraction form
    135,046.20/202,569.30 = 36,550.20/x
  3. Step 3: Cross multiply
    135,046.20x = 202,569.30 × 36,550.20
  4. Step 4: Simplify right side
    135,046.20x = 7,403,948,428.86
  5. Step 5: Solve for x
    x = 7,403,948,428.86/135,046.20
  6. Step 6: Final answer
    x = 54,825.30

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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.