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Finding the Fourth Proportional to 232,920.42, 349,294.68 and 83,120.64

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Solution

The fourth proportional to 232,920.42, 349,294.68 and 83,120.64 is: 124,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,920.42 : 349,294.68 = 83,120.64 : x
  2. Step 2: Convert to fraction form
    232,920.42/349,294.68 = 83,120.64/x
  3. Step 3: Cross multiply
    232,920.42x = 349,294.68 × 83,120.64
  4. Step 4: Simplify right side
    232,920.42x = 29,033,597,350.20
  5. Step 5: Solve for x
    x = 29,033,597,350.20/232,920.42
  6. Step 6: Final answer
    x = 124,650.29

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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.