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Finding the Fourth Proportional to 142,179.36, 196,207.36 and 78,517

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Solution

The fourth proportional to 142,179.36, 196,207.36 and 78,517 is: 108,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,179.36 : 196,207.36 = 78,517 : x
  2. Step 2: Convert to fraction form
    142,179.36/196,207.36 = 78,517/x
  3. Step 3: Cross multiply
    142,179.36x = 196,207.36 × 78,517
  4. Step 4: Simplify right side
    142,179.36x = 15,405,613,285.12
  5. Step 5: Solve for x
    x = 15,405,613,285.12/142,179.36
  6. Step 6: Final answer
    x = 108,353.37

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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.