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Finding the Fourth Proportional to 178,530.82, 246,372.42 and 97,958.86

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Solution

The fourth proportional to 178,530.82, 246,372.42 and 97,958.86 is: 135,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,530.82 : 246,372.42 = 97,958.86 : x
  2. Step 2: Convert to fraction form
    178,530.82/246,372.42 = 97,958.86/x
  3. Step 3: Cross multiply
    178,530.82x = 246,372.42 × 97,958.86
  4. Step 4: Simplify right side
    178,530.82x = 24,134,361,398.64
  5. Step 5: Solve for x
    x = 24,134,361,398.64/178,530.82
  6. Step 6: Final answer
    x = 135,183.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.