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Finding the Fourth Proportional to 167,738, 231,480.60 and 92,284.88

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Solution

The fourth proportional to 167,738, 231,480.60 and 92,284.88 is: 127,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,738 : 231,480.60 = 92,284.88 : x
  2. Step 2: Convert to fraction form
    167,738/231,480.60 = 92,284.88/x
  3. Step 3: Cross multiply
    167,738x = 231,480.60 × 92,284.88
  4. Step 4: Simplify right side
    167,738x = 21,362,159,393.33
  5. Step 5: Solve for x
    x = 21,362,159,393.33/167,738
  6. Step 6: Final answer
    x = 127,354.32

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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.