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Finding the Fourth Proportional to 181,277.20, 271,807.80 and 111,206.80

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Solution

The fourth proportional to 181,277.20, 271,807.80 and 111,206.80 is: 166,743.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,277.20 : 271,807.80 = 111,206.80 : x
  2. Step 2: Convert to fraction form
    181,277.20/271,807.80 = 111,206.80/x
  3. Step 3: Cross multiply
    181,277.20x = 271,807.80 × 111,206.80
  4. Step 4: Simplify right side
    181,277.20x = 30,226,875,653.04
  5. Step 5: Solve for x
    x = 30,226,875,653.04/181,277.20
  6. Step 6: Final answer
    x = 166,743.95

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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.