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Finding the Fourth Proportional to 181,008.70, 271,405.05 and 110,938.30

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Solution

The fourth proportional to 181,008.70, 271,405.05 and 110,938.30 is: 166,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,008.70 : 271,405.05 = 110,938.30 : x
  2. Step 2: Convert to fraction form
    181,008.70/271,405.05 = 110,938.30/x
  3. Step 3: Cross multiply
    181,008.70x = 271,405.05 × 110,938.30
  4. Step 4: Simplify right side
    181,008.70x = 30,109,214,858.42
  5. Step 5: Solve for x
    x = 30,109,214,858.42/181,008.70
  6. Step 6: Final answer
    x = 166,341.26

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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.