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Finding the Fourth Proportional to 119,241.60, 178,861.66 and 30,494.95

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Solution

The fourth proportional to 119,241.60, 178,861.66 and 30,494.95 is: 45,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,241.60 : 178,861.66 = 30,494.95 : x
  2. Step 2: Convert to fraction form
    119,241.60/178,861.66 = 30,494.95/x
  3. Step 3: Cross multiply
    119,241.60x = 178,861.66 × 30,494.95
  4. Step 4: Simplify right side
    119,241.60x = 5,454,377,378.62
  5. Step 5: Solve for x
    x = 5,454,377,378.62/119,241.60
  6. Step 6: Final answer
    x = 45,742.24

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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.