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Finding the Fourth Proportional to 227,108.80, 340,663.20 and 164,123.20

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Solution

The fourth proportional to 227,108.80, 340,663.20 and 164,123.20 is: 246,184.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,108.80 : 340,663.20 = 164,123.20 : x
  2. Step 2: Convert to fraction form
    227,108.80/340,663.20 = 164,123.20/x
  3. Step 3: Cross multiply
    227,108.80x = 340,663.20 × 164,123.20
  4. Step 4: Simplify right side
    227,108.80x = 55,910,734,506.24
  5. Step 5: Solve for x
    x = 55,910,734,506.24/227,108.80
  6. Step 6: Final answer
    x = 246,184.80

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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.