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Finding the Fourth Proportional to 101,630.26, 140,158.38 and 65,782.90

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Solution

The fourth proportional to 101,630.26, 140,158.38 and 65,782.90 is: 90,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,630.26 : 140,158.38 = 65,782.90 : x
  2. Step 2: Convert to fraction form
    101,630.26/140,158.38 = 65,782.90/x
  3. Step 3: Cross multiply
    101,630.26x = 140,158.38 × 65,782.90
  4. Step 4: Simplify right side
    101,630.26x = 9,220,024,695.70
  5. Step 5: Solve for x
    x = 9,220,024,695.70/101,630.26
  6. Step 6: Final answer
    x = 90,721.25

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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.