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Finding the Fourth Proportional to 181,175.24, 271,762.86 and 56,525.96

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Solution

The fourth proportional to 181,175.24, 271,762.86 and 56,525.96 is: 84,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,175.24 : 271,762.86 = 56,525.96 : x
  2. Step 2: Convert to fraction form
    181,175.24/271,762.86 = 56,525.96/x
  3. Step 3: Cross multiply
    181,175.24x = 271,762.86 × 56,525.96
  4. Step 4: Simplify right side
    181,175.24x = 15,361,656,553.85
  5. Step 5: Solve for x
    x = 15,361,656,553.85/181,175.24
  6. Step 6: Final answer
    x = 84,788.94

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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.