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Finding the Fourth Proportional to 269,522, 404,110.16 and 111,859.28

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Solution

The fourth proportional to 269,522, 404,110.16 and 111,859.28 is: 167,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,522 : 404,110.16 = 111,859.28 : x
  2. Step 2: Convert to fraction form
    269,522/404,110.16 = 111,859.28/x
  3. Step 3: Cross multiply
    269,522x = 404,110.16 × 111,859.28
  4. Step 4: Simplify right side
    269,522x = 45,203,471,538.28
  5. Step 5: Solve for x
    x = 45,203,471,538.28/269,522
  6. Step 6: Final answer
    x = 167,717.19

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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.