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Finding the Fourth Proportional to 142,659, 196,867 and 78,995.42

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Solution

The fourth proportional to 142,659, 196,867 and 78,995.42 is: 109,012.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,659 : 196,867 = 78,995.42 : x
  2. Step 2: Convert to fraction form
    142,659/196,867 = 78,995.42/x
  3. Step 3: Cross multiply
    142,659x = 196,867 × 78,995.42
  4. Step 4: Simplify right side
    142,659x = 15,551,591,349.14
  5. Step 5: Solve for x
    x = 15,551,591,349.14/142,659
  6. Step 6: Final answer
    x = 109,012.34

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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.