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Finding the Fourth Proportional to 135,765.78, 203,797.65 and 107,865.18

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Solution

The fourth proportional to 135,765.78, 203,797.65 and 107,865.18 is: 161,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,765.78 : 203,797.65 = 107,865.18 : x
  2. Step 2: Convert to fraction form
    135,765.78/203,797.65 = 107,865.18/x
  3. Step 3: Cross multiply
    135,765.78x = 203,797.65 × 107,865.18
  4. Step 4: Simplify right side
    135,765.78x = 21,982,670,200.83
  5. Step 5: Solve for x
    x = 21,982,670,200.83/135,765.78
  6. Step 6: Final answer
    x = 161,916.13

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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.