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Finding the Fourth Proportional to 181,107.30, 271,648.80 and 47,984.70

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Solution

The fourth proportional to 181,107.30, 271,648.80 and 47,984.70 is: 71,973.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,107.30 : 271,648.80 = 47,984.70 : x
  2. Step 2: Convert to fraction form
    181,107.30/271,648.80 = 47,984.70/x
  3. Step 3: Cross multiply
    181,107.30x = 271,648.80 × 47,984.70
  4. Step 4: Simplify right side
    181,107.30x = 13,034,986,173.36
  5. Step 5: Solve for x
    x = 13,034,986,173.36/181,107.30
  6. Step 6: Final answer
    x = 71,973.83

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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.