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Finding the Fourth Proportional to 101,442, 140,000.42 and 58,422.90

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Solution

The fourth proportional to 101,442, 140,000.42 and 58,422.90 is: 80,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442 : 140,000.42 = 58,422.90 : x
  2. Step 2: Convert to fraction form
    101,442/140,000.42 = 58,422.90/x
  3. Step 3: Cross multiply
    101,442x = 140,000.42 × 58,422.90
  4. Step 4: Simplify right side
    101,442x = 8,179,230,537.62
  5. Step 5: Solve for x
    x = 8,179,230,537.62/101,442
  6. Step 6: Final answer
    x = 80,629.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.