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Finding the Fourth Proportional to 162,806.40, 244,209.60 and 106,819.20

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Solution

The fourth proportional to 162,806.40, 244,209.60 and 106,819.20 is: 160,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,806.40 : 244,209.60 = 106,819.20 : x
  2. Step 2: Convert to fraction form
    162,806.40/244,209.60 = 106,819.20/x
  3. Step 3: Cross multiply
    162,806.40x = 244,209.60 × 106,819.20
  4. Step 4: Simplify right side
    162,806.40x = 26,086,274,104.32
  5. Step 5: Solve for x
    x = 26,086,274,104.32/162,806.40
  6. Step 6: Final answer
    x = 160,228.80

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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.