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Finding the Fourth Proportional to 135,540.38, 187,040.70 and 78,182.07

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Solution

The fourth proportional to 135,540.38, 187,040.70 and 78,182.07 is: 107,888.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,540.38 : 187,040.70 = 78,182.07 : x
  2. Step 2: Convert to fraction form
    135,540.38/187,040.70 = 78,182.07/x
  3. Step 3: Cross multiply
    135,540.38x = 187,040.70 × 78,182.07
  4. Step 4: Simplify right side
    135,540.38x = 14,623,229,100.25
  5. Step 5: Solve for x
    x = 14,623,229,100.25/135,540.38
  6. Step 6: Final answer
    x = 107,888.36

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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.