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Finding the Fourth Proportional to 142,443.97, 196,442.62 and 122,294.41

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Solution

The fourth proportional to 142,443.97, 196,442.62 and 122,294.41 is: 168,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,443.97 : 196,442.62 = 122,294.41 : x
  2. Step 2: Convert to fraction form
    142,443.97/196,442.62 = 122,294.41/x
  3. Step 3: Cross multiply
    142,443.97x = 196,442.62 × 122,294.41
  4. Step 4: Simplify right side
    142,443.97x = 24,023,834,311.75
  5. Step 5: Solve for x
    x = 24,023,834,311.75/142,443.97
  6. Step 6: Final answer
    x = 168,654.62

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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.