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Finding the Fourth Proportional to 198,169.17, 297,284.74 and 65,019.14

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Solution

The fourth proportional to 198,169.17, 297,284.74 and 65,019.14 is: 97,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,169.17 : 297,284.74 = 65,019.14 : x
  2. Step 2: Convert to fraction form
    198,169.17/297,284.74 = 65,019.14/x
  3. Step 3: Cross multiply
    198,169.17x = 297,284.74 × 65,019.14
  4. Step 4: Simplify right side
    198,169.17x = 19,329,198,129.92
  5. Step 5: Solve for x
    x = 19,329,198,129.92/198,169.17
  6. Step 6: Final answer
    x = 97,538.88

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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.