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Finding the Fourth Proportional to 199,537.20, 299,305.80 and 116,593.20

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Solution

The fourth proportional to 199,537.20, 299,305.80 and 116,593.20 is: 174,889.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,537.20 : 299,305.80 = 116,593.20 : x
  2. Step 2: Convert to fraction form
    199,537.20/299,305.80 = 116,593.20/x
  3. Step 3: Cross multiply
    199,537.20x = 299,305.80 × 116,593.20
  4. Step 4: Simplify right side
    199,537.20x = 34,897,021,000.56
  5. Step 5: Solve for x
    x = 34,897,021,000.56/199,537.20
  6. Step 6: Final answer
    x = 174,889.80

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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.