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Finding the Fourth Proportional to 99,229, 136,937.12 and 54,517

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Solution

The fourth proportional to 99,229, 136,937.12 and 54,517 is: 75,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,229 : 136,937.12 = 54,517 : x
  2. Step 2: Convert to fraction form
    99,229/136,937.12 = 54,517/x
  3. Step 3: Cross multiply
    99,229x = 136,937.12 × 54,517
  4. Step 4: Simplify right side
    99,229x = 7,465,400,971.04
  5. Step 5: Solve for x
    x = 7,465,400,971.04/99,229
  6. Step 6: Final answer
    x = 75,234.06

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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.