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Finding the Fourth Proportional to 100,167.80, 138,227.28 and 54,844.96

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Solution

The fourth proportional to 100,167.80, 138,227.28 and 54,844.96 is: 75,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,167.80 : 138,227.28 = 54,844.96 : x
  2. Step 2: Convert to fraction form
    100,167.80/138,227.28 = 54,844.96/x
  3. Step 3: Cross multiply
    100,167.80x = 138,227.28 × 54,844.96
  4. Step 4: Simplify right side
    100,167.80x = 7,581,069,642.51
  5. Step 5: Solve for x
    x = 7,581,069,642.51/100,167.80
  6. Step 6: Final answer
    x = 75,683.70

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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.