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Finding the Fourth Proportional to 142,082.16, 196,065 and 78,418.32

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Solution

The fourth proportional to 142,082.16, 196,065 and 78,418.32 is: 108,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,082.16 : 196,065 = 78,418.32 : x
  2. Step 2: Convert to fraction form
    142,082.16/196,065 = 78,418.32/x
  3. Step 3: Cross multiply
    142,082.16x = 196,065 × 78,418.32
  4. Step 4: Simplify right side
    142,082.16x = 15,375,087,910.80
  5. Step 5: Solve for x
    x = 15,375,087,910.80/142,082.16
  6. Step 6: Final answer
    x = 108,212.66

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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.