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Finding the Fourth Proportional to 113,168.26, 169,778.65 and 33,203

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Solution

The fourth proportional to 113,168.26, 169,778.65 and 33,203 is: 49,812.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,168.26 : 169,778.65 = 33,203 : x
  2. Step 2: Convert to fraction form
    113,168.26/169,778.65 = 33,203/x
  3. Step 3: Cross multiply
    113,168.26x = 169,778.65 × 33,203
  4. Step 4: Simplify right side
    113,168.26x = 5,637,160,515.95
  5. Step 5: Solve for x
    x = 5,637,160,515.95/113,168.26
  6. Step 6: Final answer
    x = 49,812.20

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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.