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Finding the Fourth Proportional to 168,002.10, 238,003.11 and 168,002.10

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Solution

The fourth proportional to 168,002.10, 238,003.11 and 168,002.10 is: 238,003.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,002.10 : 238,003.11 = 168,002.10 : x
  2. Step 2: Convert to fraction form
    168,002.10/238,003.11 = 168,002.10/x
  3. Step 3: Cross multiply
    168,002.10x = 238,003.11 × 168,002.10
  4. Step 4: Simplify right side
    168,002.10x = 39,985,022,286.53
  5. Step 5: Solve for x
    x = 39,985,022,286.53/168,002.10
  6. Step 6: Final answer
    x = 238,003.11

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.