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Finding the Fourth Proportional to 181,514.40, 271,753.20 and 111,530.40

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Solution

The fourth proportional to 181,514.40, 271,753.20 and 111,530.40 is: 166,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,514.40 : 271,753.20 = 111,530.40 : x
  2. Step 2: Convert to fraction form
    181,514.40/271,753.20 = 111,530.40/x
  3. Step 3: Cross multiply
    181,514.40x = 271,753.20 × 111,530.40
  4. Step 4: Simplify right side
    181,514.40x = 30,308,743,097.28
  5. Step 5: Solve for x
    x = 30,308,743,097.28/181,514.40
  6. Step 6: Final answer
    x = 166,977.07

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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.