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Finding the Fourth Proportional to 101,752.17, 140,418.39 and 56,434.38

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Solution

The fourth proportional to 101,752.17, 140,418.39 and 56,434.38 is: 77,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,752.17 : 140,418.39 = 56,434.38 : x
  2. Step 2: Convert to fraction form
    101,752.17/140,418.39 = 56,434.38/x
  3. Step 3: Cross multiply
    101,752.17x = 140,418.39 × 56,434.38
  4. Step 4: Simplify right side
    101,752.17x = 7,924,424,780.25
  5. Step 5: Solve for x
    x = 7,924,424,780.25/101,752.17
  6. Step 6: Final answer
    x = 77,879.66

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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.