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Finding the Fourth Proportional to 199,514.08, 299,467.92 and 106,019.68

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Solution

The fourth proportional to 199,514.08, 299,467.92 and 106,019.68 is: 159,134.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,514.08 : 299,467.92 = 106,019.68 : x
  2. Step 2: Convert to fraction form
    199,514.08/299,467.92 = 106,019.68/x
  3. Step 3: Cross multiply
    199,514.08x = 299,467.92 × 106,019.68
  4. Step 4: Simplify right side
    199,514.08x = 31,749,493,048.67
  5. Step 5: Solve for x
    x = 31,749,493,048.67/199,514.08
  6. Step 6: Final answer
    x = 159,134.10

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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.