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Finding the Fourth Proportional to 150,009.60, 224,949.60 and 75,100.80

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Solution

The fourth proportional to 150,009.60, 224,949.60 and 75,100.80 is: 112,618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,009.60 : 224,949.60 = 75,100.80 : x
  2. Step 2: Convert to fraction form
    150,009.60/224,949.60 = 75,100.80/x
  3. Step 3: Cross multiply
    150,009.60x = 224,949.60 × 75,100.80
  4. Step 4: Simplify right side
    150,009.60x = 16,893,894,919.68
  5. Step 5: Solve for x
    x = 16,893,894,919.68/150,009.60
  6. Step 6: Final answer
    x = 112,618.76

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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.