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Finding the Fourth Proportional to 135,635.31, 187,196.10 and 75,219.39

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Solution

The fourth proportional to 135,635.31, 187,196.10 and 75,219.39 is: 103,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,635.31 : 187,196.10 = 75,219.39 : x
  2. Step 2: Convert to fraction form
    135,635.31/187,196.10 = 75,219.39/x
  3. Step 3: Cross multiply
    135,635.31x = 187,196.10 × 75,219.39
  4. Step 4: Simplify right side
    135,635.31x = 14,080,776,452.38
  5. Step 5: Solve for x
    x = 14,080,776,452.38/135,635.31
  6. Step 6: Final answer
    x = 103,813.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.