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Finding the Fourth Proportional to 147,358.37, 203,354.45 and 82,827.97

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Solution

The fourth proportional to 147,358.37, 203,354.45 and 82,827.97 is: 114,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,358.37 : 203,354.45 = 82,827.97 : x
  2. Step 2: Convert to fraction form
    147,358.37/203,354.45 = 82,827.97/x
  3. Step 3: Cross multiply
    147,358.37x = 203,354.45 × 82,827.97
  4. Step 4: Simplify right side
    147,358.37x = 16,843,435,672.05
  5. Step 5: Solve for x
    x = 16,843,435,672.05/147,358.37
  6. Step 6: Final answer
    x = 114,302.54

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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.