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Finding the Fourth Proportional to 224,563.92, 336,747.30 and 84,224.16

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Solution

The fourth proportional to 224,563.92, 336,747.30 and 84,224.16 is: 126,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,563.92 : 336,747.30 = 84,224.16 : x
  2. Step 2: Convert to fraction form
    224,563.92/336,747.30 = 84,224.16/x
  3. Step 3: Cross multiply
    224,563.92x = 336,747.30 × 84,224.16
  4. Step 4: Simplify right side
    224,563.92x = 28,362,258,474.77
  5. Step 5: Solve for x
    x = 28,362,258,474.77/224,563.92
  6. Step 6: Final answer
    x = 126,299.27

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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.