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Finding the Fourth Proportional to 234,514.55, 351,769.25 and 57,021.68

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Solution

The fourth proportional to 234,514.55, 351,769.25 and 57,021.68 is: 85,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,514.55 : 351,769.25 = 57,021.68 : x
  2. Step 2: Convert to fraction form
    234,514.55/351,769.25 = 57,021.68/x
  3. Step 3: Cross multiply
    234,514.55x = 351,769.25 × 57,021.68
  4. Step 4: Simplify right side
    234,514.55x = 20,058,471,563.39
  5. Step 5: Solve for x
    x = 20,058,471,563.39/234,514.55
  6. Step 6: Final answer
    x = 85,531.89

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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.