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Finding the Fourth Proportional to 181,355.80, 271,904.10 and 81,434.20

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Solution

The fourth proportional to 181,355.80, 271,904.10 and 81,434.20 is: 122,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,355.80 : 271,904.10 = 81,434.20 : x
  2. Step 2: Convert to fraction form
    181,355.80/271,904.10 = 81,434.20/x
  3. Step 3: Cross multiply
    181,355.80x = 271,904.10 × 81,434.20
  4. Step 4: Simplify right side
    181,355.80x = 22,142,292,860.22
  5. Step 5: Solve for x
    x = 22,142,292,860.22/181,355.80
  6. Step 6: Final answer
    x = 122,093.11

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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.