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Finding the Fourth Proportional to 199,166.40, 298,742.40 and 80,834.40

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Solution

The fourth proportional to 199,166.40, 298,742.40 and 80,834.40 is: 121,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,166.40 : 298,742.40 = 80,834.40 : x
  2. Step 2: Convert to fraction form
    199,166.40/298,742.40 = 80,834.40/x
  3. Step 3: Cross multiply
    199,166.40x = 298,742.40 × 80,834.40
  4. Step 4: Simplify right side
    199,166.40x = 24,148,662,658.56
  5. Step 5: Solve for x
    x = 24,148,662,658.56/199,166.40
  6. Step 6: Final answer
    x = 121,248.68

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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.