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Finding the Fourth Proportional to 181,665, 250,698.78 and 102,177

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Solution

The fourth proportional to 181,665, 250,698.78 and 102,177 is: 141,004.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,665 : 250,698.78 = 102,177 : x
  2. Step 2: Convert to fraction form
    181,665/250,698.78 = 102,177/x
  3. Step 3: Cross multiply
    181,665x = 250,698.78 × 102,177
  4. Step 4: Simplify right side
    181,665x = 25,615,649,244.06
  5. Step 5: Solve for x
    x = 25,615,649,244.06/181,665
  6. Step 6: Final answer
    x = 141,004.87

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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.