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Finding the Fourth Proportional to 183,213.72, 274,414.57 and 140,781.47

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Solution

The fourth proportional to 183,213.72, 274,414.57 and 140,781.47 is: 210,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,213.72 : 274,414.57 = 140,781.47 : x
  2. Step 2: Convert to fraction form
    183,213.72/274,414.57 = 140,781.47/x
  3. Step 3: Cross multiply
    183,213.72x = 274,414.57 × 140,781.47
  4. Step 4: Simplify right side
    183,213.72x = 38,632,484,829.99
  5. Step 5: Solve for x
    x = 38,632,484,829.99/183,213.72
  6. Step 6: Final answer
    x = 210,860.22

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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.