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Finding the Fourth Proportional to 135,675.70, 187,243.96 and 75,265.80

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Solution

The fourth proportional to 135,675.70, 187,243.96 and 75,265.80 is: 103,873.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,675.70 : 187,243.96 = 75,265.80 : x
  2. Step 2: Convert to fraction form
    135,675.70/187,243.96 = 75,265.80/x
  3. Step 3: Cross multiply
    135,675.70x = 187,243.96 × 75,265.80
  4. Step 4: Simplify right side
    135,675.70x = 14,093,066,444.57
  5. Step 5: Solve for x
    x = 14,093,066,444.57/135,675.70
  6. Step 6: Final answer
    x = 103,873.18

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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.