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Finding the Fourth Proportional to 224,190, 309,388.68 and 123,594.48

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Solution

The fourth proportional to 224,190, 309,388.68 and 123,594.48 is: 170,563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,190 : 309,388.68 = 123,594.48 : x
  2. Step 2: Convert to fraction form
    224,190/309,388.68 = 123,594.48/x
  3. Step 3: Cross multiply
    224,190x = 309,388.68 × 123,594.48
  4. Step 4: Simplify right side
    224,190x = 38,238,733,022.49
  5. Step 5: Solve for x
    x = 38,238,733,022.49/224,190
  6. Step 6: Final answer
    x = 170,563.95

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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.