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Finding the Fourth Proportional to 135,930.96, 203,896.44 and 42,444.72

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Solution

The fourth proportional to 135,930.96, 203,896.44 and 42,444.72 is: 63,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,930.96 : 203,896.44 = 42,444.72 : x
  2. Step 2: Convert to fraction form
    135,930.96/203,896.44 = 42,444.72/x
  3. Step 3: Cross multiply
    135,930.96x = 203,896.44 × 42,444.72
  4. Step 4: Simplify right side
    135,930.96x = 8,654,327,304.80
  5. Step 5: Solve for x
    x = 8,654,327,304.80/135,930.96
  6. Step 6: Final answer
    x = 63,667.08

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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.