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Finding the Fourth Proportional to 143,524.85, 198,064.30 and 83,098.65

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Solution

The fourth proportional to 143,524.85, 198,064.30 and 83,098.65 is: 114,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,524.85 : 198,064.30 = 83,098.65 : x
  2. Step 2: Convert to fraction form
    143,524.85/198,064.30 = 83,098.65/x
  3. Step 3: Cross multiply
    143,524.85x = 198,064.30 × 83,098.65
  4. Step 4: Simplify right side
    143,524.85x = 16,458,875,943.20
  5. Step 5: Solve for x
    x = 16,458,875,943.20/143,524.85
  6. Step 6: Final answer
    x = 114,676.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.