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Finding the Fourth Proportional to 183,278.34, 274,914.54 and 178,755.30

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Solution

The fourth proportional to 183,278.34, 274,914.54 and 178,755.30 is: 268,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,278.34 : 274,914.54 = 178,755.30 : x
  2. Step 2: Convert to fraction form
    183,278.34/274,914.54 = 178,755.30/x
  3. Step 3: Cross multiply
    183,278.34x = 274,914.54 × 178,755.30
  4. Step 4: Simplify right side
    183,278.34x = 49,142,431,072.06
  5. Step 5: Solve for x
    x = 49,142,431,072.06/183,278.34
  6. Step 6: Final answer
    x = 268,130.05

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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.