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Finding the Fourth Proportional to 269,564.01, 404,227.90 and 100,966.02

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Solution

The fourth proportional to 269,564.01, 404,227.90 and 100,966.02 is: 151,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,564.01 : 404,227.90 = 100,966.02 : x
  2. Step 2: Convert to fraction form
    269,564.01/404,227.90 = 100,966.02/x
  3. Step 3: Cross multiply
    269,564.01x = 404,227.90 × 100,966.02
  4. Step 4: Simplify right side
    269,564.01x = 40,813,282,235.96
  5. Step 5: Solve for x
    x = 40,813,282,235.96/269,564.01
  6. Step 6: Final answer
    x = 151,404.79

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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.