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Finding the Fourth Proportional to 198,454.64, 273,866.31 and 107,809.88

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Solution

The fourth proportional to 198,454.64, 273,866.31 and 107,809.88 is: 148,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,454.64 : 273,866.31 = 107,809.88 : x
  2. Step 2: Convert to fraction form
    198,454.64/273,866.31 = 107,809.88/x
  3. Step 3: Cross multiply
    198,454.64x = 273,866.31 × 107,809.88
  4. Step 4: Simplify right side
    198,454.64x = 29,525,492,793.43
  5. Step 5: Solve for x
    x = 29,525,492,793.43/198,454.64
  6. Step 6: Final answer
    x = 148,777.04

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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.