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Finding the Fourth Proportional to 234,216.52, 351,380.76 and 76,445.26

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Solution

The fourth proportional to 234,216.52, 351,380.76 and 76,445.26 is: 114,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,216.52 : 351,380.76 = 76,445.26 : x
  2. Step 2: Convert to fraction form
    234,216.52/351,380.76 = 76,445.26/x
  3. Step 3: Cross multiply
    234,216.52x = 351,380.76 × 76,445.26
  4. Step 4: Simplify right side
    234,216.52x = 26,861,393,557.20
  5. Step 5: Solve for x
    x = 26,861,393,557.20/234,216.52
  6. Step 6: Final answer
    x = 114,686.16

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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.