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Finding the Fourth Proportional to 142,362.56, 196,443.24 and 78,691.64

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Solution

The fourth proportional to 142,362.56, 196,443.24 and 78,691.64 is: 108,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,362.56 : 196,443.24 = 78,691.64 : x
  2. Step 2: Convert to fraction form
    142,362.56/196,443.24 = 78,691.64/x
  3. Step 3: Cross multiply
    142,362.56x = 196,443.24 × 78,691.64
  4. Step 4: Simplify right side
    142,362.56x = 15,458,440,722.51
  5. Step 5: Solve for x
    x = 15,458,440,722.51/142,362.56
  6. Step 6: Final answer
    x = 108,585.02

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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.