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Finding the Fourth Proportional to 141,099.39, 194,719.50 and 77,443.11

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Solution

The fourth proportional to 141,099.39, 194,719.50 and 77,443.11 is: 106,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,099.39 : 194,719.50 = 77,443.11 : x
  2. Step 2: Convert to fraction form
    141,099.39/194,719.50 = 77,443.11/x
  3. Step 3: Cross multiply
    141,099.39x = 194,719.50 × 77,443.11
  4. Step 4: Simplify right side
    141,099.39x = 15,079,683,657.65
  5. Step 5: Solve for x
    x = 15,079,683,657.65/141,099.39
  6. Step 6: Final answer
    x = 106,872.78

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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.