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Finding the Fourth Proportional to 167,741, 231,484.74 and 92,287.88

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Solution

The fourth proportional to 167,741, 231,484.74 and 92,287.88 is: 127,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,741 : 231,484.74 = 92,287.88 : x
  2. Step 2: Convert to fraction form
    167,741/231,484.74 = 92,287.88/x
  3. Step 3: Cross multiply
    167,741x = 231,484.74 × 92,287.88
  4. Step 4: Simplify right side
    167,741x = 21,363,235,906.95
  5. Step 5: Solve for x
    x = 21,363,235,906.95/167,741
  6. Step 6: Final answer
    x = 127,358.46

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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.