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Finding the Fourth Proportional to 219,297.82, 328,843.02 and 100,934.14

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Solution

The fourth proportional to 219,297.82, 328,843.02 and 100,934.14 is: 151,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,297.82 : 328,843.02 = 100,934.14 : x
  2. Step 2: Convert to fraction form
    219,297.82/328,843.02 = 100,934.14/x
  3. Step 3: Cross multiply
    219,297.82x = 328,843.02 × 100,934.14
  4. Step 4: Simplify right side
    219,297.82x = 33,191,487,418.70
  5. Step 5: Solve for x
    x = 33,191,487,418.70/219,297.82
  6. Step 6: Final answer
    x = 151,353.48

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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.