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Finding the Fourth Proportional to 181,209.60, 271,708.02 and 54,811.80

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Solution

The fourth proportional to 181,209.60, 271,708.02 and 54,811.80 is: 82,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,209.60 : 271,708.02 = 54,811.80 : x
  2. Step 2: Convert to fraction form
    181,209.60/271,708.02 = 54,811.80/x
  3. Step 3: Cross multiply
    181,209.60x = 271,708.02 × 54,811.80
  4. Step 4: Simplify right side
    181,209.60x = 14,892,805,650.64
  5. Step 5: Solve for x
    x = 14,892,805,650.64/181,209.60
  6. Step 6: Final answer
    x = 82,185.52

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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.