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Finding the Fourth Proportional to 230,711.49, 318,372.53 and 133,917.30

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Solution

The fourth proportional to 230,711.49, 318,372.53 and 133,917.30 is: 184,800.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,711.49 : 318,372.53 = 133,917.30 : x
  2. Step 2: Convert to fraction form
    230,711.49/318,372.53 = 133,917.30/x
  3. Step 3: Cross multiply
    230,711.49x = 318,372.53 × 133,917.30
  4. Step 4: Simplify right side
    230,711.49x = 42,635,588,942.18
  5. Step 5: Solve for x
    x = 42,635,588,942.18/230,711.49
  6. Step 6: Final answer
    x = 184,800.46

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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.