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Finding the Fourth Proportional to 181,111.80, 271,926.90 and 102,379.80

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Solution

The fourth proportional to 181,111.80, 271,926.90 and 102,379.80 is: 153,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,111.80 : 271,926.90 = 102,379.80 : x
  2. Step 2: Convert to fraction form
    181,111.80/271,926.90 = 102,379.80/x
  3. Step 3: Cross multiply
    181,111.80x = 271,926.90 × 102,379.80
  4. Step 4: Simplify right side
    181,111.80x = 27,839,821,636.62
  5. Step 5: Solve for x
    x = 27,839,821,636.62/181,111.80
  6. Step 6: Final answer
    x = 153,716.22

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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.