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Finding the Fourth Proportional to 178,396.12, 246,189.42 and 97,831

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Solution

The fourth proportional to 178,396.12, 246,189.42 and 97,831 is: 135,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,396.12 : 246,189.42 = 97,831 : x
  2. Step 2: Convert to fraction form
    178,396.12/246,189.42 = 97,831/x
  3. Step 3: Cross multiply
    178,396.12x = 246,189.42 × 97,831
  4. Step 4: Simplify right side
    178,396.12x = 24,084,957,148.02
  5. Step 5: Solve for x
    x = 24,084,957,148.02/178,396.12
  6. Step 6: Final answer
    x = 135,008.30

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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.