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Finding the Fourth Proportional to 224,372.50, 309,639.86 and 122,399.65

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Solution

The fourth proportional to 224,372.50, 309,639.86 and 122,399.65 is: 168,914.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,372.50 : 309,639.86 = 122,399.65 : x
  2. Step 2: Convert to fraction form
    224,372.50/309,639.86 = 122,399.65/x
  3. Step 3: Cross multiply
    224,372.50x = 309,639.86 × 122,399.65
  4. Step 4: Simplify right side
    224,372.50x = 37,899,810,490.05
  5. Step 5: Solve for x
    x = 37,899,810,490.05/224,372.50
  6. Step 6: Final answer
    x = 168,914.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.