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Finding the Fourth Proportional to 133,063.60, 199,595.40 and 106,819.60

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Solution

The fourth proportional to 133,063.60, 199,595.40 and 106,819.60 is: 160,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,063.60 : 199,595.40 = 106,819.60 : x
  2. Step 2: Convert to fraction form
    133,063.60/199,595.40 = 106,819.60/x
  3. Step 3: Cross multiply
    133,063.60x = 199,595.40 × 106,819.60
  4. Step 4: Simplify right side
    133,063.60x = 21,320,700,789.84
  5. Step 5: Solve for x
    x = 21,320,700,789.84/133,063.60
  6. Step 6: Final answer
    x = 160,229.40

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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.