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Finding the Fourth Proportional to 234,432.96, 323,540.64 and 133,846.08

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Solution

The fourth proportional to 234,432.96, 323,540.64 and 133,846.08 is: 184,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,432.96 : 323,540.64 = 133,846.08 : x
  2. Step 2: Convert to fraction form
    234,432.96/323,540.64 = 133,846.08/x
  3. Step 3: Cross multiply
    234,432.96x = 323,540.64 × 133,846.08
  4. Step 4: Simplify right side
    234,432.96x = 43,304,646,384.69
  5. Step 5: Solve for x
    x = 43,304,646,384.69/234,432.96
  6. Step 6: Final answer
    x = 184,720.81

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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.