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Finding the Fourth Proportional to 159,402.30, 220,034.82 and 105,705.30

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Solution

The fourth proportional to 159,402.30, 220,034.82 and 105,705.30 is: 145,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,402.30 : 220,034.82 = 105,705.30 : x
  2. Step 2: Convert to fraction form
    159,402.30/220,034.82 = 105,705.30/x
  3. Step 3: Cross multiply
    159,402.30x = 220,034.82 × 105,705.30
  4. Step 4: Simplify right side
    159,402.30x = 23,258,846,658.55
  5. Step 5: Solve for x
    x = 23,258,846,658.55/159,402.30
  6. Step 6: Final answer
    x = 145,912.87

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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.