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Finding the Fourth Proportional to 181,648.34, 272,469.36 and 81,737.84

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Solution

The fourth proportional to 181,648.34, 272,469.36 and 81,737.84 is: 122,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,648.34 : 272,469.36 = 81,737.84 : x
  2. Step 2: Convert to fraction form
    181,648.34/272,469.36 = 81,737.84/x
  3. Step 3: Cross multiply
    181,648.34x = 272,469.36 × 81,737.84
  4. Step 4: Simplify right side
    181,648.34x = 22,271,056,952.58
  5. Step 5: Solve for x
    x = 22,271,056,952.58/181,648.34
  6. Step 6: Final answer
    x = 122,605.34

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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.