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Finding the Fourth Proportional to 219,182.99, 328,714.16 and 75,086.69

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Solution

The fourth proportional to 219,182.99, 328,714.16 and 75,086.69 is: 112,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,182.99 : 328,714.16 = 75,086.69 : x
  2. Step 2: Convert to fraction form
    219,182.99/328,714.16 = 75,086.69/x
  3. Step 3: Cross multiply
    219,182.99x = 328,714.16 × 75,086.69
  4. Step 4: Simplify right side
    219,182.99x = 24,682,057,855.10
  5. Step 5: Solve for x
    x = 24,682,057,855.10/219,182.99
  6. Step 6: Final answer
    x = 112,609.37

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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.