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Finding the Fourth Proportional to 106,316.30, 159,474.45 and 73,138.70

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Solution

The fourth proportional to 106,316.30, 159,474.45 and 73,138.70 is: 109,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,316.30 : 159,474.45 = 73,138.70 : x
  2. Step 2: Convert to fraction form
    106,316.30/159,474.45 = 73,138.70/x
  3. Step 3: Cross multiply
    106,316.30x = 159,474.45 × 73,138.70
  4. Step 4: Simplify right side
    106,316.30x = 11,663,753,956.22
  5. Step 5: Solve for x
    x = 11,663,753,956.22/106,316.30
  6. Step 6: Final answer
    x = 109,708.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.