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Finding the Fourth Proportional to 100,091.28, 138,124.78 and 54,768.74

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Solution

The fourth proportional to 100,091.28, 138,124.78 and 54,768.74 is: 75,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,091.28 : 138,124.78 = 54,768.74 : x
  2. Step 2: Convert to fraction form
    100,091.28/138,124.78 = 54,768.74/x
  3. Step 3: Cross multiply
    100,091.28x = 138,124.78 × 54,768.74
  4. Step 4: Simplify right side
    100,091.28x = 7,564,920,163.38
  5. Step 5: Solve for x
    x = 7,564,920,163.38/100,091.28
  6. Step 6: Final answer
    x = 75,580.21

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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.