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Finding the Fourth Proportional to 213,617.42, 320,145.82 and 157,193.33

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Solution

The fourth proportional to 213,617.42, 320,145.82 and 157,193.33 is: 235,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,617.42 : 320,145.82 = 157,193.33 : x
  2. Step 2: Convert to fraction form
    213,617.42/320,145.82 = 157,193.33/x
  3. Step 3: Cross multiply
    213,617.42x = 320,145.82 × 157,193.33
  4. Step 4: Simplify right side
    213,617.42x = 50,324,785,537.67
  5. Step 5: Solve for x
    x = 50,324,785,537.67/213,617.42
  6. Step 6: Final answer
    x = 235,583.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.