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Finding the Fourth Proportional to 198,476.48, 297,763.20 and 98,683.64

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Solution

The fourth proportional to 198,476.48, 297,763.20 and 98,683.64 is: 148,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,476.48 : 297,763.20 = 98,683.64 : x
  2. Step 2: Convert to fraction form
    198,476.48/297,763.20 = 98,683.64/x
  3. Step 3: Cross multiply
    198,476.48x = 297,763.20 × 98,683.64
  4. Step 4: Simplify right side
    198,476.48x = 29,384,356,434.05
  5. Step 5: Solve for x
    x = 29,384,356,434.05/198,476.48
  6. Step 6: Final answer
    x = 148,049.56

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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.