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Finding the Fourth Proportional to 224,594.82, 309,938.72 and 122,619.38

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Solution

The fourth proportional to 224,594.82, 309,938.72 and 122,619.38 is: 169,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,594.82 : 309,938.72 = 122,619.38 : x
  2. Step 2: Convert to fraction form
    224,594.82/309,938.72 = 122,619.38/x
  3. Step 3: Cross multiply
    224,594.82x = 309,938.72 × 122,619.38
  4. Step 4: Simplify right side
    224,594.82x = 38,004,491,521.60
  5. Step 5: Solve for x
    x = 38,004,491,521.60/224,594.82
  6. Step 6: Final answer
    x = 169,213.57

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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.