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Finding the Fourth Proportional to 142,002.42, 195,964 and 78,340.20

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Solution

The fourth proportional to 142,002.42, 195,964 and 78,340.20 is: 108,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,002.42 : 195,964 = 78,340.20 : x
  2. Step 2: Convert to fraction form
    142,002.42/195,964 = 78,340.20/x
  3. Step 3: Cross multiply
    142,002.42x = 195,964 × 78,340.20
  4. Step 4: Simplify right side
    142,002.42x = 15,351,858,952.80
  5. Step 5: Solve for x
    x = 15,351,858,952.80/142,002.42
  6. Step 6: Final answer
    x = 108,109.84

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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.