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Finding the Fourth Proportional to 181,873.80, 272,810.70 and 82,146.60

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Solution

The fourth proportional to 181,873.80, 272,810.70 and 82,146.60 is: 123,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,873.80 : 272,810.70 = 82,146.60 : x
  2. Step 2: Convert to fraction form
    181,873.80/272,810.70 = 82,146.60/x
  3. Step 3: Cross multiply
    181,873.80x = 272,810.70 × 82,146.60
  4. Step 4: Simplify right side
    181,873.80x = 22,410,471,448.62
  5. Step 5: Solve for x
    x = 22,410,471,448.62/181,873.80
  6. Step 6: Final answer
    x = 123,219.90

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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.