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Finding the Fourth Proportional to 198,744.40, 298,116.60 and 65,645.20

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Solution

The fourth proportional to 198,744.40, 298,116.60 and 65,645.20 is: 98,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,744.40 : 298,116.60 = 65,645.20 : x
  2. Step 2: Convert to fraction form
    198,744.40/298,116.60 = 65,645.20/x
  3. Step 3: Cross multiply
    198,744.40x = 298,116.60 × 65,645.20
  4. Step 4: Simplify right side
    198,744.40x = 19,569,923,830.32
  5. Step 5: Solve for x
    x = 19,569,923,830.32/198,744.40
  6. Step 6: Final answer
    x = 98,467.80

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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.