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Finding the Fourth Proportional to 221,714.40, 332,571.60 and 155,229.60

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Solution

The fourth proportional to 221,714.40, 332,571.60 and 155,229.60 is: 232,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,714.40 : 332,571.60 = 155,229.60 : x
  2. Step 2: Convert to fraction form
    221,714.40/332,571.60 = 155,229.60/x
  3. Step 3: Cross multiply
    221,714.40x = 332,571.60 × 155,229.60
  4. Step 4: Simplify right side
    221,714.40x = 51,624,956,439.36
  5. Step 5: Solve for x
    x = 51,624,956,439.36/221,714.40
  6. Step 6: Final answer
    x = 232,844.40

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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.