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Finding the Fourth Proportional to 100,167.99, 138,231.78 and 54,845.95

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Solution

The fourth proportional to 100,167.99, 138,231.78 and 54,845.95 is: 75,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,167.99 : 138,231.78 = 54,845.95 : x
  2. Step 2: Convert to fraction form
    100,167.99/138,231.78 = 54,845.95/x
  3. Step 3: Cross multiply
    100,167.99x = 138,231.78 × 54,845.95
  4. Step 4: Simplify right side
    100,167.99x = 7,581,453,294.29
  5. Step 5: Solve for x
    x = 7,581,453,294.29/100,167.99
  6. Step 6: Final answer
    x = 75,687.39

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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.