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Finding the Fourth Proportional to 135,742.68, 203,614.04 and 42,248.48

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Solution

The fourth proportional to 135,742.68, 203,614.04 and 42,248.48 is: 63,372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,742.68 : 203,614.04 = 42,248.48 : x
  2. Step 2: Convert to fraction form
    135,742.68/203,614.04 = 42,248.48/x
  3. Step 3: Cross multiply
    135,742.68x = 203,614.04 × 42,248.48
  4. Step 4: Simplify right side
    135,742.68x = 8,602,383,696.66
  5. Step 5: Solve for x
    x = 8,602,383,696.66/135,742.68
  6. Step 6: Final answer
    x = 63,372.73

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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.