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Finding the Fourth Proportional to 166,895, 230,315.10 and 91,445.24

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Solution

The fourth proportional to 166,895, 230,315.10 and 91,445.24 is: 126,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,895 : 230,315.10 = 91,445.24 : x
  2. Step 2: Convert to fraction form
    166,895/230,315.10 = 91,445.24/x
  3. Step 3: Cross multiply
    166,895x = 230,315.10 × 91,445.24
  4. Step 4: Simplify right side
    166,895x = 21,061,219,595.12
  5. Step 5: Solve for x
    x = 21,061,219,595.12/166,895
  6. Step 6: Final answer
    x = 126,194.43

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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.