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Finding the Fourth Proportional to 181,857.78, 250,971.50 and 101,285.31

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Solution

The fourth proportional to 181,857.78, 250,971.50 and 101,285.31 is: 139,778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,857.78 : 250,971.50 = 101,285.31 : x
  2. Step 2: Convert to fraction form
    181,857.78/250,971.50 = 101,285.31/x
  3. Step 3: Cross multiply
    181,857.78x = 250,971.50 × 101,285.31
  4. Step 4: Simplify right side
    181,857.78x = 25,419,725,672.24
  5. Step 5: Solve for x
    x = 25,419,725,672.24/181,857.78
  6. Step 6: Final answer
    x = 139,778.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.