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Finding the Fourth Proportional to 224,551.72, 309,880.74 and 123,949

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Solution

The fourth proportional to 224,551.72, 309,880.74 and 123,949 is: 171,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,551.72 : 309,880.74 = 123,949 : x
  2. Step 2: Convert to fraction form
    224,551.72/309,880.74 = 123,949/x
  3. Step 3: Cross multiply
    224,551.72x = 309,880.74 × 123,949
  4. Step 4: Simplify right side
    224,551.72x = 38,409,407,842.26
  5. Step 5: Solve for x
    x = 38,409,407,842.26/224,551.72
  6. Step 6: Final answer
    x = 171,049.27

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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.