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Finding the Fourth Proportional to 142,000.42, 195,961.24 and 78,338.20

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Solution

The fourth proportional to 142,000.42, 195,961.24 and 78,338.20 is: 108,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,000.42 : 195,961.24 = 78,338.20 : x
  2. Step 2: Convert to fraction form
    142,000.42/195,961.24 = 78,338.20/x
  3. Step 3: Cross multiply
    142,000.42x = 195,961.24 × 78,338.20
  4. Step 4: Simplify right side
    142,000.42x = 15,351,250,811.37
  5. Step 5: Solve for x
    x = 15,351,250,811.37/142,000.42
  6. Step 6: Final answer
    x = 108,107.08

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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.