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Finding the Fourth Proportional to 135,296.61, 202,956.87 and 35,456.42

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Solution

The fourth proportional to 135,296.61, 202,956.87 and 35,456.42 is: 53,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,296.61 : 202,956.87 = 35,456.42 : x
  2. Step 2: Convert to fraction form
    135,296.61/202,956.87 = 35,456.42/x
  3. Step 3: Cross multiply
    135,296.61x = 202,956.87 × 35,456.42
  4. Step 4: Simplify right side
    135,296.61x = 7,196,123,009.82
  5. Step 5: Solve for x
    x = 7,196,123,009.82/135,296.61
  6. Step 6: Final answer
    x = 53,187.76

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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.