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Finding the Fourth Proportional to 213,339.84, 320,022.04 and 80,221.25

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Solution

The fourth proportional to 213,339.84, 320,022.04 and 80,221.25 is: 120,336.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,339.84 : 320,022.04 = 80,221.25 : x
  2. Step 2: Convert to fraction form
    213,339.84/320,022.04 = 80,221.25/x
  3. Step 3: Cross multiply
    213,339.84x = 320,022.04 × 80,221.25
  4. Step 4: Simplify right side
    213,339.84x = 25,672,567,476.17
  5. Step 5: Solve for x
    x = 25,672,567,476.17/213,339.84
  6. Step 6: Final answer
    x = 120,336.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.