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Finding the Fourth Proportional to 254,042.68, 381,064.19 and 64,517.26

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Solution

The fourth proportional to 254,042.68, 381,064.19 and 64,517.26 is: 96,775.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,042.68 : 381,064.19 = 64,517.26 : x
  2. Step 2: Convert to fraction form
    254,042.68/381,064.19 = 64,517.26/x
  3. Step 3: Cross multiply
    254,042.68x = 381,064.19 × 64,517.26
  4. Step 4: Simplify right side
    254,042.68x = 24,585,217,422.92
  5. Step 5: Solve for x
    x = 24,585,217,422.92/254,042.68
  6. Step 6: Final answer
    x = 96,775.93

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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.