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Finding the Fourth Proportional to 140,753.88, 194,233.08 and 77,079.39

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Solution

The fourth proportional to 140,753.88, 194,233.08 and 77,079.39 is: 106,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,753.88 : 194,233.08 = 77,079.39 : x
  2. Step 2: Convert to fraction form
    140,753.88/194,233.08 = 77,079.39/x
  3. Step 3: Cross multiply
    140,753.88x = 194,233.08 × 77,079.39
  4. Step 4: Simplify right side
    140,753.88x = 14,971,367,324.22
  5. Step 5: Solve for x
    x = 14,971,367,324.22/140,753.88
  6. Step 6: Final answer
    x = 106,365.57

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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.