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Finding the Fourth Proportional to 83,561.22, 115,330.38 and 65,375.70

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Solution

The fourth proportional to 83,561.22, 115,330.38 and 65,375.70 is: 90,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,561.22 : 115,330.38 = 65,375.70 : x
  2. Step 2: Convert to fraction form
    83,561.22/115,330.38 = 65,375.70/x
  3. Step 3: Cross multiply
    83,561.22x = 115,330.38 × 65,375.70
  4. Step 4: Simplify right side
    83,561.22x = 7,539,804,323.77
  5. Step 5: Solve for x
    x = 7,539,804,323.77/83,561.22
  6. Step 6: Final answer
    x = 90,230.90

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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.