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Finding the Fourth Proportional to 262,194.53, 393,182.45 and 82,233.59

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Solution

The fourth proportional to 262,194.53, 393,182.45 and 82,233.59 is: 123,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,194.53 : 393,182.45 = 82,233.59 : x
  2. Step 2: Convert to fraction form
    262,194.53/393,182.45 = 82,233.59/x
  3. Step 3: Cross multiply
    262,194.53x = 393,182.45 × 82,233.59
  4. Step 4: Simplify right side
    262,194.53x = 32,332,803,977.33
  5. Step 5: Solve for x
    x = 32,332,803,977.33/262,194.53
  6. Step 6: Final answer
    x = 123,316.09

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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.