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Finding the Fourth Proportional to 133,194.60, 199,819.85 and 38,424.60

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Solution

The fourth proportional to 133,194.60, 199,819.85 and 38,424.60 is: 57,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,194.60 : 199,819.85 = 38,424.60 : x
  2. Step 2: Convert to fraction form
    133,194.60/199,819.85 = 38,424.60/x
  3. Step 3: Cross multiply
    133,194.60x = 199,819.85 × 38,424.60
  4. Step 4: Simplify right side
    133,194.60x = 7,677,997,616.19
  5. Step 5: Solve for x
    x = 7,677,997,616.19/133,194.60
  6. Step 6: Final answer
    x = 57,644.96

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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.