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Finding the Fourth Proportional to 198,502.34, 273,934.32 and 107,859.02

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Solution

The fourth proportional to 198,502.34, 273,934.32 and 107,859.02 is: 148,846.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,502.34 : 273,934.32 = 107,859.02 : x
  2. Step 2: Convert to fraction form
    198,502.34/273,934.32 = 107,859.02/x
  3. Step 3: Cross multiply
    198,502.34x = 273,934.32 × 107,859.02
  4. Step 4: Simplify right side
    198,502.34x = 29,546,287,299.57
  5. Step 5: Solve for x
    x = 29,546,287,299.57/198,502.34
  6. Step 6: Final answer
    x = 148,846.04

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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.