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Finding the Fourth Proportional to 141,175.23, 194,822.16 and 77,517.12

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Solution

The fourth proportional to 141,175.23, 194,822.16 and 77,517.12 is: 106,973.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,175.23 : 194,822.16 = 77,517.12 : x
  2. Step 2: Convert to fraction form
    141,175.23/194,822.16 = 77,517.12/x
  3. Step 3: Cross multiply
    141,175.23x = 194,822.16 × 77,517.12
  4. Step 4: Simplify right side
    141,175.23x = 15,102,052,755.38
  5. Step 5: Solve for x
    x = 15,102,052,755.38/141,175.23
  6. Step 6: Final answer
    x = 106,973.81

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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.