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Finding the Fourth Proportional to 138,476.64, 191,103.33 and 78,049.80

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Solution

The fourth proportional to 138,476.64, 191,103.33 and 78,049.80 is: 107,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,476.64 : 191,103.33 = 78,049.80 : x
  2. Step 2: Convert to fraction form
    138,476.64/191,103.33 = 78,049.80/x
  3. Step 3: Cross multiply
    138,476.64x = 191,103.33 × 78,049.80
  4. Step 4: Simplify right side
    138,476.64x = 14,915,576,685.83
  5. Step 5: Solve for x
    x = 14,915,576,685.83/138,476.64
  6. Step 6: Final answer
    x = 107,711.86

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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.