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Finding the Fourth Proportional to 142,182.77, 196,207.07 and 78,519.20

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Solution

The fourth proportional to 142,182.77, 196,207.07 and 78,519.20 is: 108,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,182.77 : 196,207.07 = 78,519.20 : x
  2. Step 2: Convert to fraction form
    142,182.77/196,207.07 = 78,519.20/x
  3. Step 3: Cross multiply
    142,182.77x = 196,207.07 × 78,519.20
  4. Step 4: Simplify right side
    142,182.77x = 15,406,022,170.74
  5. Step 5: Solve for x
    x = 15,406,022,170.74/142,182.77
  6. Step 6: Final answer
    x = 108,353.65

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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.