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Finding the Fourth Proportional to 167,085.50, 230,577.99 and 91,634

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Solution

The fourth proportional to 167,085.50, 230,577.99 and 91,634 is: 126,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,085.50 : 230,577.99 = 91,634 : x
  2. Step 2: Convert to fraction form
    167,085.50/230,577.99 = 91,634/x
  3. Step 3: Cross multiply
    167,085.50x = 230,577.99 × 91,634
  4. Step 4: Simplify right side
    167,085.50x = 21,128,783,535.66
  5. Step 5: Solve for x
    x = 21,128,783,535.66/167,085.50
  6. Step 6: Final answer
    x = 126,454.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.