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Finding the Fourth Proportional to 269,659.70, 404,644.09 and 109,706.11

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Solution

The fourth proportional to 269,659.70, 404,644.09 and 109,706.11 is: 164,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,659.70 : 404,644.09 = 109,706.11 : x
  2. Step 2: Convert to fraction form
    269,659.70/404,644.09 = 109,706.11/x
  3. Step 3: Cross multiply
    269,659.70x = 404,644.09 × 109,706.11
  4. Step 4: Simplify right side
    269,659.70x = 44,391,927,762.51
  5. Step 5: Solve for x
    x = 44,391,927,762.51/269,659.70
  6. Step 6: Final answer
    x = 164,622.04

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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.