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Finding the Fourth Proportional to 123,648.68, 170,449.16 and 96,744.47

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Solution

The fourth proportional to 123,648.68, 170,449.16 and 96,744.47 is: 133,361.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,648.68 : 170,449.16 = 96,744.47 : x
  2. Step 2: Convert to fraction form
    123,648.68/170,449.16 = 96,744.47/x
  3. Step 3: Cross multiply
    123,648.68x = 170,449.16 × 96,744.47
  4. Step 4: Simplify right side
    123,648.68x = 16,490,012,310.18
  5. Step 5: Solve for x
    x = 16,490,012,310.18/123,648.68
  6. Step 6: Final answer
    x = 133,361.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.