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Finding the Fourth Proportional to 221,893.48, 332,857.23 and 64,123.30

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Solution

The fourth proportional to 221,893.48, 332,857.23 and 64,123.30 is: 96,189.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,893.48 : 332,857.23 = 64,123.30 : x
  2. Step 2: Convert to fraction form
    221,893.48/332,857.23 = 64,123.30/x
  3. Step 3: Cross multiply
    221,893.48x = 332,857.23 × 64,123.30
  4. Step 4: Simplify right side
    221,893.48x = 21,343,904,016.46
  5. Step 5: Solve for x
    x = 21,343,904,016.46/221,893.48
  6. Step 6: Final answer
    x = 96,189.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.