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Finding the Fourth Proportional to 219,906.40, 329,470.80 and 195,023.20

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Solution

The fourth proportional to 219,906.40, 329,470.80 and 195,023.20 is: 292,189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,906.40 : 329,470.80 = 195,023.20 : x
  2. Step 2: Convert to fraction form
    219,906.40/329,470.80 = 195,023.20/x
  3. Step 3: Cross multiply
    219,906.40x = 329,470.80 × 195,023.20
  4. Step 4: Simplify right side
    219,906.40x = 64,254,449,722.56
  5. Step 5: Solve for x
    x = 64,254,449,722.56/219,906.40
  6. Step 6: Final answer
    x = 292,189.99

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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.