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Finding the Fourth Proportional to 219,249.56, 328,874.34 and 53,037.56

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Solution

The fourth proportional to 219,249.56, 328,874.34 and 53,037.56 is: 79,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,249.56 : 328,874.34 = 53,037.56 : x
  2. Step 2: Convert to fraction form
    219,249.56/328,874.34 = 53,037.56/x
  3. Step 3: Cross multiply
    219,249.56x = 328,874.34 × 53,037.56
  4. Step 4: Simplify right side
    219,249.56x = 17,442,693,561.29
  5. Step 5: Solve for x
    x = 17,442,693,561.29/219,249.56
  6. Step 6: Final answer
    x = 79,556.34

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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.