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Finding the Fourth Proportional to 181,505.80, 271,610.70 and 114,977.80

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Solution

The fourth proportional to 181,505.80, 271,610.70 and 114,977.80 is: 172,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,505.80 : 271,610.70 = 114,977.80 : x
  2. Step 2: Convert to fraction form
    181,505.80/271,610.70 = 114,977.80/x
  3. Step 3: Cross multiply
    181,505.80x = 271,610.70 × 114,977.80
  4. Step 4: Simplify right side
    181,505.80x = 31,229,200,742.46
  5. Step 5: Solve for x
    x = 31,229,200,742.46/181,505.80
  6. Step 6: Final answer
    x = 172,056.21

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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.