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Finding the Fourth Proportional to 253,024.98, 349,174.17 and 138,304.38

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Solution

The fourth proportional to 253,024.98, 349,174.17 and 138,304.38 is: 190,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,024.98 : 349,174.17 = 138,304.38 : x
  2. Step 2: Convert to fraction form
    253,024.98/349,174.17 = 138,304.38/x
  3. Step 3: Cross multiply
    253,024.98x = 349,174.17 × 138,304.38
  4. Step 4: Simplify right side
    253,024.98x = 48,292,317,093.86
  5. Step 5: Solve for x
    x = 48,292,317,093.86/253,024.98
  6. Step 6: Final answer
    x = 190,859.88

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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.