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Finding the Fourth Proportional to 157,390.26, 217,198.20 and 85,770.10

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Solution

The fourth proportional to 157,390.26, 217,198.20 and 85,770.10 is: 118,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,390.26 : 217,198.20 = 85,770.10 : x
  2. Step 2: Convert to fraction form
    157,390.26/217,198.20 = 85,770.10/x
  3. Step 3: Cross multiply
    157,390.26x = 217,198.20 × 85,770.10
  4. Step 4: Simplify right side
    157,390.26x = 18,629,111,333.82
  5. Step 5: Solve for x
    x = 18,629,111,333.82/157,390.26
  6. Step 6: Final answer
    x = 118,362.54

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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.