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Finding the Fourth Proportional to 101,082.23, 139,538.32 and 65,289.70

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Solution

The fourth proportional to 101,082.23, 139,538.32 and 65,289.70 is: 90,128.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,082.23 : 139,538.32 = 65,289.70 : x
  2. Step 2: Convert to fraction form
    101,082.23/139,538.32 = 65,289.70/x
  3. Step 3: Cross multiply
    101,082.23x = 139,538.32 × 65,289.70
  4. Step 4: Simplify right side
    101,082.23x = 9,110,414,539.23
  5. Step 5: Solve for x
    x = 9,110,414,539.23/101,082.23
  6. Step 6: Final answer
    x = 90,128.75

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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.