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Finding the Fourth Proportional to 141,274.46, 194,958.83 and 77,616.36

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Solution

The fourth proportional to 141,274.46, 194,958.83 and 77,616.36 is: 107,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,274.46 : 194,958.83 = 77,616.36 : x
  2. Step 2: Convert to fraction form
    141,274.46/194,958.83 = 77,616.36/x
  3. Step 3: Cross multiply
    141,274.46x = 194,958.83 × 77,616.36
  4. Step 4: Simplify right side
    141,274.46x = 15,131,994,346.38
  5. Step 5: Solve for x
    x = 15,131,994,346.38/141,274.46
  6. Step 6: Final answer
    x = 107,110.61

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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.