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Finding the Fourth Proportional to 224,568, 309,904.38 and 123,966

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Solution

The fourth proportional to 224,568, 309,904.38 and 123,966 is: 171,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,568 : 309,904.38 = 123,966 : x
  2. Step 2: Convert to fraction form
    224,568/309,904.38 = 123,966/x
  3. Step 3: Cross multiply
    224,568x = 309,904.38 × 123,966
  4. Step 4: Simplify right side
    224,568x = 38,417,606,371.08
  5. Step 5: Solve for x
    x = 38,417,606,371.08/224,568
  6. Step 6: Final answer
    x = 171,073.38

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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.