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Finding the Fourth Proportional to 142,086.10, 196,064.84 and 78,419.79

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Solution

The fourth proportional to 142,086.10, 196,064.84 and 78,419.79 is: 108,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,086.10 : 196,064.84 = 78,419.79 : x
  2. Step 2: Convert to fraction form
    142,086.10/196,064.84 = 78,419.79/x
  3. Step 3: Cross multiply
    142,086.10x = 196,064.84 × 78,419.79
  4. Step 4: Simplify right side
    142,086.10x = 15,375,363,285.07
  5. Step 5: Solve for x
    x = 15,375,363,285.07/142,086.10
  6. Step 6: Final answer
    x = 108,211.60

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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.