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Finding the Fourth Proportional to 198,653.85, 297,974.19 and 86,334.19

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Solution

The fourth proportional to 198,653.85, 297,974.19 and 86,334.19 is: 129,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,653.85 : 297,974.19 = 86,334.19 : x
  2. Step 2: Convert to fraction form
    198,653.85/297,974.19 = 86,334.19/x
  3. Step 3: Cross multiply
    198,653.85x = 297,974.19 × 86,334.19
  4. Step 4: Simplify right side
    198,653.85x = 25,725,358,844.69
  5. Step 5: Solve for x
    x = 25,725,358,844.69/198,653.85
  6. Step 6: Final answer
    x = 129,498.42

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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.