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Finding the Fourth Proportional to 155,282.46, 232,984.17 and 61,797.66

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Solution

The fourth proportional to 155,282.46, 232,984.17 and 61,797.66 is: 92,720.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,282.46 : 232,984.17 = 61,797.66 : x
  2. Step 2: Convert to fraction form
    155,282.46/232,984.17 = 61,797.66/x
  3. Step 3: Cross multiply
    155,282.46x = 232,984.17 × 61,797.66
  4. Step 4: Simplify right side
    155,282.46x = 14,397,876,523.04
  5. Step 5: Solve for x
    x = 14,397,876,523.04/155,282.46
  6. Step 6: Final answer
    x = 92,720.56

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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.