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Finding the Fourth Proportional to 102,270.38, 141,176.67 and 68,755.82

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Solution

The fourth proportional to 102,270.38, 141,176.67 and 68,755.82 is: 94,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,270.38 : 141,176.67 = 68,755.82 : x
  2. Step 2: Convert to fraction form
    102,270.38/141,176.67 = 68,755.82/x
  3. Step 3: Cross multiply
    102,270.38x = 141,176.67 × 68,755.82
  4. Step 4: Simplify right side
    102,270.38x = 9,706,717,710.72
  5. Step 5: Solve for x
    x = 9,706,717,710.72/102,270.38
  6. Step 6: Final answer
    x = 94,912.31

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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.