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Finding the Fourth Proportional to 142,770.69, 197,023.52 and 85,412.44

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Solution

The fourth proportional to 142,770.69, 197,023.52 and 85,412.44 is: 117,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,770.69 : 197,023.52 = 85,412.44 : x
  2. Step 2: Convert to fraction form
    142,770.69/197,023.52 = 85,412.44/x
  3. Step 3: Cross multiply
    142,770.69x = 197,023.52 × 85,412.44
  4. Step 4: Simplify right side
    142,770.69x = 16,828,260,040.40
  5. Step 5: Solve for x
    x = 16,828,260,040.40/142,770.69
  6. Step 6: Final answer
    x = 117,869.15

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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.