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Finding the Fourth Proportional to 219,296.82, 328,841.52 and 100,933.14

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Solution

The fourth proportional to 219,296.82, 328,841.52 and 100,933.14 is: 151,351.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,296.82 : 328,841.52 = 100,933.14 : x
  2. Step 2: Convert to fraction form
    219,296.82/328,841.52 = 100,933.14/x
  3. Step 3: Cross multiply
    219,296.82x = 328,841.52 × 100,933.14
  4. Step 4: Simplify right side
    219,296.82x = 33,191,007,175.97
  5. Step 5: Solve for x
    x = 33,191,007,175.97/219,296.82
  6. Step 6: Final answer
    x = 151,351.98

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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.