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Finding the Fourth Proportional to 232,296.52, 348,361.12 and 80,452.48

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Solution

The fourth proportional to 232,296.52, 348,361.12 and 80,452.48 is: 120,649.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,296.52 : 348,361.12 = 80,452.48 : x
  2. Step 2: Convert to fraction form
    232,296.52/348,361.12 = 80,452.48/x
  3. Step 3: Cross multiply
    232,296.52x = 348,361.12 × 80,452.48
  4. Step 4: Simplify right side
    232,296.52x = 28,026,516,039.58
  5. Step 5: Solve for x
    x = 28,026,516,039.58/232,296.52
  6. Step 6: Final answer
    x = 120,649.75

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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.