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Finding the Fourth Proportional to 107,469.40, 161,204.10 and 41,805.40

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Solution

The fourth proportional to 107,469.40, 161,204.10 and 41,805.40 is: 62,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,469.40 : 161,204.10 = 41,805.40 : x
  2. Step 2: Convert to fraction form
    107,469.40/161,204.10 = 41,805.40/x
  3. Step 3: Cross multiply
    107,469.40x = 161,204.10 × 41,805.40
  4. Step 4: Simplify right side
    107,469.40x = 6,739,201,882.14
  5. Step 5: Solve for x
    x = 6,739,201,882.14/107,469.40
  6. Step 6: Final answer
    x = 62,708.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.