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Finding the Fourth Proportional to 198,401.32, 297,620.88 and 65,282.68

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Solution

The fourth proportional to 198,401.32, 297,620.88 and 65,282.68 is: 97,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,401.32 : 297,620.88 = 65,282.68 : x
  2. Step 2: Convert to fraction form
    198,401.32/297,620.88 = 65,282.68/x
  3. Step 3: Cross multiply
    198,401.32x = 297,620.88 × 65,282.68
  4. Step 4: Simplify right side
    198,401.32x = 19,429,488,670.36
  5. Step 5: Solve for x
    x = 19,429,488,670.36/198,401.32
  6. Step 6: Final answer
    x = 97,930.24

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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.