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Finding the Fourth Proportional to 199,834.40, 299,708.40 and 87,514.40

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Solution

The fourth proportional to 199,834.40, 299,708.40 and 87,514.40 is: 131,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,834.40 : 299,708.40 = 87,514.40 : x
  2. Step 2: Convert to fraction form
    199,834.40/299,708.40 = 87,514.40/x
  3. Step 3: Cross multiply
    199,834.40x = 299,708.40 × 87,514.40
  4. Step 4: Simplify right side
    199,834.40x = 26,228,800,800.96
  5. Step 5: Solve for x
    x = 26,228,800,800.96/199,834.40
  6. Step 6: Final answer
    x = 131,252.68

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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.