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Finding the Fourth Proportional to 199,299.63, 275,044.43 and 114,422.16

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Solution

The fourth proportional to 199,299.63, 275,044.43 and 114,422.16 is: 157,908.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,299.63 : 275,044.43 = 114,422.16 : x
  2. Step 2: Convert to fraction form
    199,299.63/275,044.43 = 114,422.16/x
  3. Step 3: Cross multiply
    199,299.63x = 275,044.43 × 114,422.16
  4. Step 4: Simplify right side
    199,299.63x = 31,471,177,776.57
  5. Step 5: Solve for x
    x = 31,471,177,776.57/199,299.63
  6. Step 6: Final answer
    x = 157,908.86

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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.