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Finding the Fourth Proportional to 102,269.38, 141,175.29 and 68,754.82

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Solution

The fourth proportional to 102,269.38, 141,175.29 and 68,754.82 is: 94,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,269.38 : 141,175.29 = 68,754.82 : x
  2. Step 2: Convert to fraction form
    102,269.38/141,175.29 = 68,754.82/x
  3. Step 3: Cross multiply
    102,269.38x = 141,175.29 × 68,754.82
  4. Step 4: Simplify right side
    102,269.38x = 9,706,481,652.40
  5. Step 5: Solve for x
    x = 9,706,481,652.40/102,269.38
  6. Step 6: Final answer
    x = 94,910.93

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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.