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Finding the Fourth Proportional to 199,522.86, 275,347.43 and 108,884.70

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Solution

The fourth proportional to 199,522.86, 275,347.43 and 108,884.70 is: 150,264.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,522.86 : 275,347.43 = 108,884.70 : x
  2. Step 2: Convert to fraction form
    199,522.86/275,347.43 = 108,884.70/x
  3. Step 3: Cross multiply
    199,522.86x = 275,347.43 × 108,884.70
  4. Step 4: Simplify right side
    199,522.86x = 29,981,121,094.56
  5. Step 5: Solve for x
    x = 29,981,121,094.56/199,522.86
  6. Step 6: Final answer
    x = 150,264.09

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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.