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Finding the Fourth Proportional to 181,011.78, 271,561.58 and 54,644.49

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Solution

The fourth proportional to 181,011.78, 271,561.58 and 54,644.49 is: 81,979.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,011.78 : 271,561.58 = 54,644.49 : x
  2. Step 2: Convert to fraction form
    181,011.78/271,561.58 = 54,644.49/x
  3. Step 3: Cross multiply
    181,011.78x = 271,561.58 × 54,644.49
  4. Step 4: Simplify right side
    181,011.78x = 14,839,343,974.39
  5. Step 5: Solve for x
    x = 14,839,343,974.39/181,011.78
  6. Step 6: Final answer
    x = 81,979.99

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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.