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Finding the Fourth Proportional to 219,662.20, 329,234.10 and 164,193.40

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Solution

The fourth proportional to 219,662.20, 329,234.10 and 164,193.40 is: 246,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,662.20 : 329,234.10 = 164,193.40 : x
  2. Step 2: Convert to fraction form
    219,662.20/329,234.10 = 164,193.40/x
  3. Step 3: Cross multiply
    219,662.20x = 329,234.10 × 164,193.40
  4. Step 4: Simplify right side
    219,662.20x = 54,058,066,274.94
  5. Step 5: Solve for x
    x = 54,058,066,274.94/219,662.20
  6. Step 6: Final answer
    x = 246,096.35

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1.5x scale

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.