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Finding the Fourth Proportional to 181,009.20, 271,405.80 and 110,938.80

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Solution

The fourth proportional to 181,009.20, 271,405.80 and 110,938.80 is: 166,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,009.20 : 271,405.80 = 110,938.80 : x
  2. Step 2: Convert to fraction form
    181,009.20/271,405.80 = 110,938.80/x
  3. Step 3: Cross multiply
    181,009.20x = 271,405.80 × 110,938.80
  4. Step 4: Simplify right side
    181,009.20x = 30,109,433,765.04
  5. Step 5: Solve for x
    x = 30,109,433,765.04/181,009.20
  6. Step 6: Final answer
    x = 166,342.01

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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.