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Finding the Fourth Proportional to 181,144.50, 271,454.13 and 102,090.48

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Solution

The fourth proportional to 181,144.50, 271,454.13 and 102,090.48 is: 152,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,144.50 : 271,454.13 = 102,090.48 : x
  2. Step 2: Convert to fraction form
    181,144.50/271,454.13 = 102,090.48/x
  3. Step 3: Cross multiply
    181,144.50x = 271,454.13 × 102,090.48
  4. Step 4: Simplify right side
    181,144.50x = 27,712,882,429.68
  5. Step 5: Solve for x
    x = 27,712,882,429.68/181,144.50
  6. Step 6: Final answer
    x = 152,987.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.