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Finding the Fourth Proportional to 100,211.38, 138,293.12 and 54,888.44

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Solution

The fourth proportional to 100,211.38, 138,293.12 and 54,888.44 is: 75,746.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,211.38 : 138,293.12 = 54,888.44 : x
  2. Step 2: Convert to fraction form
    100,211.38/138,293.12 = 54,888.44/x
  3. Step 3: Cross multiply
    100,211.38x = 138,293.12 × 54,888.44
  4. Step 4: Simplify right side
    100,211.38x = 7,590,693,065.29
  5. Step 5: Solve for x
    x = 7,590,693,065.29/100,211.38
  6. Step 6: Final answer
    x = 75,746.82

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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.