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Finding the Fourth Proportional to 142,602.32, 196,793.85 and 82,162.76

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Solution

The fourth proportional to 142,602.32, 196,793.85 and 82,162.76 is: 113,386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,602.32 : 196,793.85 = 82,162.76 : x
  2. Step 2: Convert to fraction form
    142,602.32/196,793.85 = 82,162.76/x
  3. Step 3: Cross multiply
    142,602.32x = 196,793.85 × 82,162.76
  4. Step 4: Simplify right side
    142,602.32x = 16,169,125,191.17
  5. Step 5: Solve for x
    x = 16,169,125,191.17/142,602.32
  6. Step 6: Final answer
    x = 113,386.13

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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.