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Finding the Fourth Proportional to 198,506.34, 273,939.84 and 107,863.02

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Solution

The fourth proportional to 198,506.34, 273,939.84 and 107,863.02 is: 148,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,506.34 : 273,939.84 = 107,863.02 : x
  2. Step 2: Convert to fraction form
    198,506.34/273,939.84 = 107,863.02/x
  3. Step 3: Cross multiply
    198,506.34x = 273,939.84 × 107,863.02
  4. Step 4: Simplify right side
    198,506.34x = 29,547,978,440.72
  5. Step 5: Solve for x
    x = 29,547,978,440.72/198,506.34
  6. Step 6: Final answer
    x = 148,851.56

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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.