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Finding the Fourth Proportional to 119,211.46, 178,581.03 and 81,679.30

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Solution

The fourth proportional to 119,211.46, 178,581.03 and 81,679.30 is: 122,357.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,211.46 : 178,581.03 = 81,679.30 : x
  2. Step 2: Convert to fraction form
    119,211.46/178,581.03 = 81,679.30/x
  3. Step 3: Cross multiply
    119,211.46x = 178,581.03 × 81,679.30
  4. Step 4: Simplify right side
    119,211.46x = 14,586,373,523.68
  5. Step 5: Solve for x
    x = 14,586,373,523.68/119,211.46
  6. Step 6: Final answer
    x = 122,357.14

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Why These Related Problems?

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