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Finding the Fourth Proportional to 253,229.84, 349,462.44 and 140,060.24

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Solution

The fourth proportional to 253,229.84, 349,462.44 and 140,060.24 is: 193,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,229.84 : 349,462.44 = 140,060.24 : x
  2. Step 2: Convert to fraction form
    253,229.84/349,462.44 = 140,060.24/x
  3. Step 3: Cross multiply
    253,229.84x = 349,462.44 × 140,060.24
  4. Step 4: Simplify right side
    253,229.84x = 48,945,793,217.39
  5. Step 5: Solve for x
    x = 48,945,793,217.39/253,229.84
  6. Step 6: Final answer
    x = 193,286.04

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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.