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Finding the Fourth Proportional to 168,120.14, 232,010.21 and 103,632

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Solution

The fourth proportional to 168,120.14, 232,010.21 and 103,632 is: 143,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,120.14 : 232,010.21 = 103,632 : x
  2. Step 2: Convert to fraction form
    168,120.14/232,010.21 = 103,632/x
  3. Step 3: Cross multiply
    168,120.14x = 232,010.21 × 103,632
  4. Step 4: Simplify right side
    168,120.14x = 24,043,682,082.72
  5. Step 5: Solve for x
    x = 24,043,682,082.72/168,120.14
  6. Step 6: Final answer
    x = 143,014.88

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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.