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Finding the Fourth Proportional to 103,202.87, 154,819.69 and 36,637.42

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Solution

The fourth proportional to 103,202.87, 154,819.69 and 36,637.42 is: 54,961.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.87 : 154,819.69 = 36,637.42 : x
  2. Step 2: Convert to fraction form
    103,202.87/154,819.69 = 36,637.42/x
  3. Step 3: Cross multiply
    103,202.87x = 154,819.69 × 36,637.42
  4. Step 4: Simplify right side
    103,202.87x = 5,672,193,818.44
  5. Step 5: Solve for x
    x = 5,672,193,818.44/103,202.87
  6. Step 6: Final answer
    x = 54,961.59

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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.