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Finding the Fourth Proportional to 199,522.94, 275,347.52 and 108,884.76

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Solution

The fourth proportional to 199,522.94, 275,347.52 and 108,884.76 is: 150,264.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,522.94 : 275,347.52 = 108,884.76 : x
  2. Step 2: Convert to fraction form
    199,522.94/275,347.52 = 108,884.76/x
  3. Step 3: Cross multiply
    199,522.94x = 275,347.52 × 108,884.76
  4. Step 4: Simplify right side
    199,522.94x = 29,981,148,431.56
  5. Step 5: Solve for x
    x = 29,981,148,431.56/199,522.94
  6. Step 6: Final answer
    x = 150,264.16

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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.