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Finding the Fourth Proportional to 198,274.24, 297,236.16 and 151,734.88

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Solution

The fourth proportional to 198,274.24, 297,236.16 and 151,734.88 is: 227,468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,274.24 : 297,236.16 = 151,734.88 : x
  2. Step 2: Convert to fraction form
    198,274.24/297,236.16 = 151,734.88/x
  3. Step 3: Cross multiply
    198,274.24x = 297,236.16 × 151,734.88
  4. Step 4: Simplify right side
    198,274.24x = 45,101,093,069.26
  5. Step 5: Solve for x
    x = 45,101,093,069.26/198,274.24
  6. Step 6: Final answer
    x = 227,468.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.