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Finding the Fourth Proportional to 221,410.70, 332,116.05 and 146,615.30

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Solution

The fourth proportional to 221,410.70, 332,116.05 and 146,615.30 is: 219,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,410.70 : 332,116.05 = 146,615.30 : x
  2. Step 2: Convert to fraction form
    221,410.70/332,116.05 = 146,615.30/x
  3. Step 3: Cross multiply
    221,410.70x = 332,116.05 × 146,615.30
  4. Step 4: Simplify right side
    221,410.70x = 48,693,294,305.57
  5. Step 5: Solve for x
    x = 48,693,294,305.57/221,410.70
  6. Step 6: Final answer
    x = 219,922.95

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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.