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Finding the Fourth Proportional to 181,096.44, 271,911.24 and 101,290.74

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Solution

The fourth proportional to 181,096.44, 271,911.24 and 101,290.74 is: 152,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,096.44 : 271,911.24 = 101,290.74 : x
  2. Step 2: Convert to fraction form
    181,096.44/271,911.24 = 101,290.74/x
  3. Step 3: Cross multiply
    181,096.44x = 271,911.24 × 101,290.74
  4. Step 4: Simplify right side
    181,096.44x = 27,542,090,713.92
  5. Step 5: Solve for x
    x = 27,542,090,713.92/181,096.44
  6. Step 6: Final answer
    x = 152,085.21

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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.