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Finding the Fourth Proportional to 181,108.80, 271,651.05 and 47,986.20

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Solution

The fourth proportional to 181,108.80, 271,651.05 and 47,986.20 is: 71,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,108.80 : 271,651.05 = 47,986.20 : x
  2. Step 2: Convert to fraction form
    181,108.80/271,651.05 = 47,986.20/x
  3. Step 3: Cross multiply
    181,108.80x = 271,651.05 × 47,986.20
  4. Step 4: Simplify right side
    181,108.80x = 13,035,501,615.51
  5. Step 5: Solve for x
    x = 13,035,501,615.51/181,108.80
  6. Step 6: Final answer
    x = 71,976.08

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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.