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Finding the Fourth Proportional to 205,212.72, 283,194.72 and 120,331.20

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Solution

The fourth proportional to 205,212.72, 283,194.72 and 120,331.20 is: 166,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,212.72 : 283,194.72 = 120,331.20 : x
  2. Step 2: Convert to fraction form
    205,212.72/283,194.72 = 120,331.20/x
  3. Step 3: Cross multiply
    205,212.72x = 283,194.72 × 120,331.20
  4. Step 4: Simplify right side
    205,212.72x = 34,077,160,491.26
  5. Step 5: Solve for x
    x = 34,077,160,491.26/205,212.72
  6. Step 6: Final answer
    x = 166,057.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.