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Finding the Fourth Proportional to 167,256, 230,809.46 and 90,775.25

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Solution

The fourth proportional to 167,256, 230,809.46 and 90,775.25 is: 125,267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,256 : 230,809.46 = 90,775.25 : x
  2. Step 2: Convert to fraction form
    167,256/230,809.46 = 90,775.25/x
  3. Step 3: Cross multiply
    167,256x = 230,809.46 × 90,775.25
  4. Step 4: Simplify right side
    167,256x = 20,951,784,825.94
  5. Step 5: Solve for x
    x = 20,951,784,825.94/167,256
  6. Step 6: Final answer
    x = 125,267.76

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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.