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Finding the Fourth Proportional to 169,584.97, 233,893.72 and 150,224.59

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Solution

The fourth proportional to 169,584.97, 233,893.72 and 150,224.59 is: 207,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,584.97 : 233,893.72 = 150,224.59 : x
  2. Step 2: Convert to fraction form
    169,584.97/233,893.72 = 150,224.59/x
  3. Step 3: Cross multiply
    169,584.97x = 233,893.72 × 150,224.59
  4. Step 4: Simplify right side
    169,584.97x = 35,136,588,190.57
  5. Step 5: Solve for x
    x = 35,136,588,190.57/169,584.97
  6. Step 6: Final answer
    x = 207,191.64

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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.