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Finding the Fourth Proportional to 142,042.72, 196,042.80 and 85,459.36

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Solution

The fourth proportional to 142,042.72, 196,042.80 and 85,459.36 is: 117,948.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,042.72 : 196,042.80 = 85,459.36 : x
  2. Step 2: Convert to fraction form
    142,042.72/196,042.80 = 85,459.36/x
  3. Step 3: Cross multiply
    142,042.72x = 196,042.80 × 85,459.36
  4. Step 4: Simplify right side
    142,042.72x = 16,753,692,220.61
  5. Step 5: Solve for x
    x = 16,753,692,220.61/142,042.72
  6. Step 6: Final answer
    x = 117,948.26

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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.