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Finding the Fourth Proportional to 149,466, 223,645.20 and 119,793.84

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Solution

The fourth proportional to 149,466, 223,645.20 and 119,793.84 is: 179,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,466 : 223,645.20 = 119,793.84 : x
  2. Step 2: Convert to fraction form
    149,466/223,645.20 = 119,793.84/x
  3. Step 3: Cross multiply
    149,466x = 223,645.20 × 119,793.84
  4. Step 4: Simplify right side
    149,466x = 26,791,317,305.57
  5. Step 5: Solve for x
    x = 26,791,317,305.57/149,466
  6. Step 6: Final answer
    x = 179,246.90

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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.