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Finding the Fourth Proportional to 224,258.88, 335,921.76 and 106,024.80

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Solution

The fourth proportional to 224,258.88, 335,921.76 and 106,024.80 is: 158,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,258.88 : 335,921.76 = 106,024.80 : x
  2. Step 2: Convert to fraction form
    224,258.88/335,921.76 = 106,024.80/x
  3. Step 3: Cross multiply
    224,258.88x = 335,921.76 × 106,024.80
  4. Step 4: Simplify right side
    224,258.88x = 35,616,037,419.65
  5. Step 5: Solve for x
    x = 35,616,037,419.65/224,258.88
  6. Step 6: Final answer
    x = 158,816.62

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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.