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Finding the Fourth Proportional to 141,251.50, 194,923.21 and 77,589.29

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Solution

The fourth proportional to 141,251.50, 194,923.21 and 77,589.29 is: 107,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,251.50 : 194,923.21 = 77,589.29 : x
  2. Step 2: Convert to fraction form
    141,251.50/194,923.21 = 77,589.29/x
  3. Step 3: Cross multiply
    141,251.50x = 194,923.21 × 77,589.29
  4. Step 4: Simplify right side
    141,251.50x = 15,123,953,907.24
  5. Step 5: Solve for x
    x = 15,123,953,907.24/141,251.50
  6. Step 6: Final answer
    x = 107,071.11

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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.