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Finding the Fourth Proportional to 100,212.68, 138,291.84 and 54,890.24

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Solution

The fourth proportional to 100,212.68, 138,291.84 and 54,890.24 is: 75,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,212.68 : 138,291.84 = 54,890.24 : x
  2. Step 2: Convert to fraction form
    100,212.68/138,291.84 = 54,890.24/x
  3. Step 3: Cross multiply
    100,212.68x = 138,291.84 × 54,890.24
  4. Step 4: Simplify right side
    100,212.68x = 7,590,872,287.64
  5. Step 5: Solve for x
    x = 7,590,872,287.64/100,212.68
  6. Step 6: Final answer
    x = 75,747.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.