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Finding the Fourth Proportional to 182,294.34, 251,565.72 and 101,721

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Solution

The fourth proportional to 182,294.34, 251,565.72 and 101,721 is: 140,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,294.34 : 251,565.72 = 101,721 : x
  2. Step 2: Convert to fraction form
    182,294.34/251,565.72 = 101,721/x
  3. Step 3: Cross multiply
    182,294.34x = 251,565.72 × 101,721
  4. Step 4: Simplify right side
    182,294.34x = 25,589,516,604.12
  5. Step 5: Solve for x
    x = 25,589,516,604.12/182,294.34
  6. Step 6: Final answer
    x = 140,374.72

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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.