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Finding the Fourth Proportional to 271,890, 407,921.67 and 114,076.08

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Solution

The fourth proportional to 271,890, 407,921.67 and 114,076.08 is: 171,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,890 : 407,921.67 = 114,076.08 : x
  2. Step 2: Convert to fraction form
    271,890/407,921.67 = 114,076.08/x
  3. Step 3: Cross multiply
    271,890x = 407,921.67 × 114,076.08
  4. Step 4: Simplify right side
    271,890x = 46,534,105,060.65
  5. Step 5: Solve for x
    x = 46,534,105,060.65/271,890
  6. Step 6: Final answer
    x = 171,150.48

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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.