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Finding the Fourth Proportional to 100,181.39, 150,327.42 and 55,833.14

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Solution

The fourth proportional to 100,181.39, 150,327.42 and 55,833.14 is: 83,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,181.39 : 150,327.42 = 55,833.14 : x
  2. Step 2: Convert to fraction form
    100,181.39/150,327.42 = 55,833.14/x
  3. Step 3: Cross multiply
    100,181.39x = 150,327.42 × 55,833.14
  4. Step 4: Simplify right side
    100,181.39x = 8,393,251,135.06
  5. Step 5: Solve for x
    x = 8,393,251,135.06/100,181.39
  6. Step 6: Final answer
    x = 83,780.55

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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.