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Finding the Fourth Proportional to 338,139.89, 466,519.77 and 194,896.86

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Solution

The fourth proportional to 338,139.89, 466,519.77 and 194,896.86 is: 268,892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,139.89 : 466,519.77 = 194,896.86 : x
  2. Step 2: Convert to fraction form
    338,139.89/466,519.77 = 194,896.86/x
  3. Step 3: Cross multiply
    338,139.89x = 466,519.77 × 194,896.86
  4. Step 4: Simplify right side
    338,139.89x = 90,923,238,300.92
  5. Step 5: Solve for x
    x = 90,923,238,300.92/338,139.89
  6. Step 6: Final answer
    x = 268,892.38

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Why These Related Problems?

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