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Finding the Fourth Proportional to 203,654.17, 305,704.73 and 161,803.27

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Solution

The fourth proportional to 203,654.17, 305,704.73 and 161,803.27 is: 242,882.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,654.17 : 305,704.73 = 161,803.27 : x
  2. Step 2: Convert to fraction form
    203,654.17/305,704.73 = 161,803.27/x
  3. Step 3: Cross multiply
    203,654.17x = 305,704.73 × 161,803.27
  4. Step 4: Simplify right side
    203,654.17x = 49,464,024,968.47
  5. Step 5: Solve for x
    x = 49,464,024,968.47/203,654.17
  6. Step 6: Final answer
    x = 242,882.46

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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.