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Finding the Fourth Proportional to 224,734.64, 336,718.22 and 123,617.29

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Solution

The fourth proportional to 224,734.64, 336,718.22 and 123,617.29 is: 185,214.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,734.64 : 336,718.22 = 123,617.29 : x
  2. Step 2: Convert to fraction form
    224,734.64/336,718.22 = 123,617.29/x
  3. Step 3: Cross multiply
    224,734.64x = 336,718.22 × 123,617.29
  4. Step 4: Simplify right side
    224,734.64x = 41,624,193,850.02
  5. Step 5: Solve for x
    x = 41,624,193,850.02/224,734.64
  6. Step 6: Final answer
    x = 185,214.86

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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.