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Finding the Fourth Proportional to 181,210.80, 271,814.85 and 54,850.80

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Solution

The fourth proportional to 181,210.80, 271,814.85 and 54,850.80 is: 82,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,210.80 : 271,814.85 = 54,850.80 : x
  2. Step 2: Convert to fraction form
    181,210.80/271,814.85 = 54,850.80/x
  3. Step 3: Cross multiply
    181,210.80x = 271,814.85 × 54,850.80
  4. Step 4: Simplify right side
    181,210.80x = 14,909,261,974.38
  5. Step 5: Solve for x
    x = 14,909,261,974.38/181,210.80
  6. Step 6: Final answer
    x = 82,275.79

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1.5x scale

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.