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Finding the Fourth Proportional to 234,964.99, 352,331.76 and 85,182.83

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Solution

The fourth proportional to 234,964.99, 352,331.76 and 85,182.83 is: 127,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,964.99 : 352,331.76 = 85,182.83 : x
  2. Step 2: Convert to fraction form
    234,964.99/352,331.76 = 85,182.83/x
  3. Step 3: Cross multiply
    234,964.99x = 352,331.76 × 85,182.83
  4. Step 4: Simplify right side
    234,964.99x = 30,012,616,415.68
  5. Step 5: Solve for x
    x = 30,012,616,415.68/234,964.99
  6. Step 6: Final answer
    x = 127,732.29

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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.