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Finding the Fourth Proportional to 282,437.52, 423,714.60 and 82,764.42

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Solution

The fourth proportional to 282,437.52, 423,714.60 and 82,764.42 is: 124,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,437.52 : 423,714.60 = 82,764.42 : x
  2. Step 2: Convert to fraction form
    282,437.52/423,714.60 = 82,764.42/x
  3. Step 3: Cross multiply
    282,437.52x = 423,714.60 × 82,764.42
  4. Step 4: Simplify right side
    282,437.52x = 35,068,493,114.53
  5. Step 5: Solve for x
    x = 35,068,493,114.53/282,437.52
  6. Step 6: Final answer
    x = 124,163.72

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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.