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Finding the Fourth Proportional to 135,089.67, 202,468.40 and 75,800.78

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Solution

The fourth proportional to 135,089.67, 202,468.40 and 75,800.78 is: 113,607.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,089.67 : 202,468.40 = 75,800.78 : x
  2. Step 2: Convert to fraction form
    135,089.67/202,468.40 = 75,800.78/x
  3. Step 3: Cross multiply
    135,089.67x = 202,468.40 × 75,800.78
  4. Step 4: Simplify right side
    135,089.67x = 15,347,261,633.01
  5. Step 5: Solve for x
    x = 15,347,261,633.01/135,089.67
  6. Step 6: Final answer
    x = 113,607.96

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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.