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Finding the Fourth Proportional to 101,634.22, 140,325.24 and 77,719.24

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Solution

The fourth proportional to 101,634.22, 140,325.24 and 77,719.24 is: 107,306.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,634.22 : 140,325.24 = 77,719.24 : x
  2. Step 2: Convert to fraction form
    101,634.22/140,325.24 = 77,719.24/x
  3. Step 3: Cross multiply
    101,634.22x = 140,325.24 × 77,719.24
  4. Step 4: Simplify right side
    101,634.22x = 10,905,971,005.62
  5. Step 5: Solve for x
    x = 10,905,971,005.62/101,634.22
  6. Step 6: Final answer
    x = 107,306.09

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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.