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Finding the Fourth Proportional to 198,266.96, 297,244.92 and 98,356.88

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Solution

The fourth proportional to 198,266.96, 297,244.92 and 98,356.88 is: 147,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,266.96 : 297,244.92 = 98,356.88 : x
  2. Step 2: Convert to fraction form
    198,266.96/297,244.92 = 98,356.88/x
  3. Step 3: Cross multiply
    198,266.96x = 297,244.92 × 98,356.88
  4. Step 4: Simplify right side
    198,266.96x = 29,236,082,927.05
  5. Step 5: Solve for x
    x = 29,236,082,927.05/198,266.96
  6. Step 6: Final answer
    x = 147,458.17

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1.5x scale

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.