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Finding the Fourth Proportional to 177,178.97, 264,960.45 and 132,232.07

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Solution

The fourth proportional to 177,178.97, 264,960.45 and 132,232.07 is: 197,745.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,178.97 : 264,960.45 = 132,232.07 : x
  2. Step 2: Convert to fraction form
    177,178.97/264,960.45 = 132,232.07/x
  3. Step 3: Cross multiply
    177,178.97x = 264,960.45 × 132,232.07
  4. Step 4: Simplify right side
    177,178.97x = 35,036,268,771.63
  5. Step 5: Solve for x
    x = 35,036,268,771.63/177,178.97
  6. Step 6: Final answer
    x = 197,745.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.