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Finding the Fourth Proportional to 135,677.34, 187,240.97 and 75,244.38

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Solution

The fourth proportional to 135,677.34, 187,240.97 and 75,244.38 is: 103,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,677.34 : 187,240.97 = 75,244.38 : x
  2. Step 2: Convert to fraction form
    135,677.34/187,240.97 = 75,244.38/x
  3. Step 3: Cross multiply
    135,677.34x = 187,240.97 × 75,244.38
  4. Step 4: Simplify right side
    135,677.34x = 14,088,830,698.25
  5. Step 5: Solve for x
    x = 14,088,830,698.25/135,677.34
  6. Step 6: Final answer
    x = 103,840.71

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