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Finding the Fourth Proportional to 181,205.40, 271,808.01 and 56,546.40

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Solution

The fourth proportional to 181,205.40, 271,808.01 and 56,546.40 is: 84,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,205.40 : 271,808.01 = 56,546.40 : x
  2. Step 2: Convert to fraction form
    181,205.40/271,808.01 = 56,546.40/x
  3. Step 3: Cross multiply
    181,205.40x = 271,808.01 × 56,546.40
  4. Step 4: Simplify right side
    181,205.40x = 15,369,764,456.66
  5. Step 5: Solve for x
    x = 15,369,764,456.66/181,205.40
  6. Step 6: Final answer
    x = 84,819.57

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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.