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Finding the Fourth Proportional to 142,431.99, 196,557.42 and 78,770.85

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Solution

The fourth proportional to 142,431.99, 196,557.42 and 78,770.85 is: 108,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,431.99 : 196,557.42 = 78,770.85 : x
  2. Step 2: Convert to fraction form
    142,431.99/196,557.42 = 78,770.85/x
  3. Step 3: Cross multiply
    142,431.99x = 196,557.42 × 78,770.85
  4. Step 4: Simplify right side
    142,431.99x = 15,482,995,047.21
  5. Step 5: Solve for x
    x = 15,482,995,047.21/142,431.99
  6. Step 6: Final answer
    x = 108,704.48

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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.