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Finding the Fourth Proportional to 142,402.32, 196,519.11 and 78,742.38

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Solution

The fourth proportional to 142,402.32, 196,519.11 and 78,742.38 is: 108,666.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,402.32 : 196,519.11 = 78,742.38 : x
  2. Step 2: Convert to fraction form
    142,402.32/196,519.11 = 78,742.38/x
  3. Step 3: Cross multiply
    142,402.32x = 196,519.11 × 78,742.38
  4. Step 4: Simplify right side
    142,402.32x = 15,474,382,436.88
  5. Step 5: Solve for x
    x = 15,474,382,436.88/142,402.32
  6. Step 6: Final answer
    x = 108,666.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.