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Finding the Fourth Proportional to 167,227.31, 230,773.70 and 100,159.31

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Solution

The fourth proportional to 167,227.31, 230,773.70 and 100,159.31 is: 138,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,227.31 : 230,773.70 = 100,159.31 : x
  2. Step 2: Convert to fraction form
    167,227.31/230,773.70 = 100,159.31/x
  3. Step 3: Cross multiply
    167,227.31x = 230,773.70 × 100,159.31
  4. Step 4: Simplify right side
    167,227.31x = 23,114,134,634.28
  5. Step 5: Solve for x
    x = 23,114,134,634.28/167,227.31
  6. Step 6: Final answer
    x = 138,219.85

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1.5x scale

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.