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Finding the Fourth Proportional to 142,342.52, 196,425 and 78,676.52

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Solution

The fourth proportional to 142,342.52, 196,425 and 78,676.52 is: 108,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,342.52 : 196,425 = 78,676.52 : x
  2. Step 2: Convert to fraction form
    142,342.52/196,425 = 78,676.52/x
  3. Step 3: Cross multiply
    142,342.52x = 196,425 × 78,676.52
  4. Step 4: Simplify right side
    142,342.52x = 15,454,034,458.88
  5. Step 5: Solve for x
    x = 15,454,034,458.88/142,342.52
  6. Step 6: Final answer
    x = 108,569.35

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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.