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Finding the Fourth Proportional to 123,458.68, 185,146.09 and 34,691.54

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Solution

The fourth proportional to 123,458.68, 185,146.09 and 34,691.54 is: 52,025.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,458.68 : 185,146.09 = 34,691.54 : x
  2. Step 2: Convert to fraction form
    123,458.68/185,146.09 = 34,691.54/x
  3. Step 3: Cross multiply
    123,458.68x = 185,146.09 × 34,691.54
  4. Step 4: Simplify right side
    123,458.68x = 6,423,003,449.94
  5. Step 5: Solve for x
    x = 6,423,003,449.94/123,458.68
  6. Step 6: Final answer
    x = 52,025.53

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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.