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Finding the Fourth Proportional to 183,909, 274,254.12 and 182,227.41

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Solution

The fourth proportional to 183,909, 274,254.12 and 182,227.41 is: 271,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,909 : 274,254.12 = 182,227.41 : x
  2. Step 2: Convert to fraction form
    183,909/274,254.12 = 182,227.41/x
  3. Step 3: Cross multiply
    183,909x = 274,254.12 × 182,227.41
  4. Step 4: Simplify right side
    183,909x = 49,976,617,969.43
  5. Step 5: Solve for x
    x = 49,976,617,969.43/183,909
  6. Step 6: Final answer
    x = 271,746.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.