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Finding the Fourth Proportional to 142,105.10, 196,103.94 and 78,442.88

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Solution

The fourth proportional to 142,105.10, 196,103.94 and 78,442.88 is: 108,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,105.10 : 196,103.94 = 78,442.88 : x
  2. Step 2: Convert to fraction form
    142,105.10/196,103.94 = 78,442.88/x
  3. Step 3: Cross multiply
    142,105.10x = 196,103.94 × 78,442.88
  4. Step 4: Simplify right side
    142,105.10x = 15,382,957,832.95
  5. Step 5: Solve for x
    x = 15,382,957,832.95/142,105.10
  6. Step 6: Final answer
    x = 108,250.57

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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.