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Finding the Fourth Proportional to 252,122.52, 347,922.66 and 137,404.11

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Solution

The fourth proportional to 252,122.52, 347,922.66 and 137,404.11 is: 189,614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,122.52 : 347,922.66 = 137,404.11 : x
  2. Step 2: Convert to fraction form
    252,122.52/347,922.66 = 137,404.11/x
  3. Step 3: Cross multiply
    252,122.52x = 347,922.66 × 137,404.11
  4. Step 4: Simplify right side
    252,122.52x = 47,806,003,446.13
  5. Step 5: Solve for x
    x = 47,806,003,446.13/252,122.52
  6. Step 6: Final answer
    x = 189,614.17

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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.