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Finding the Fourth Proportional to 225,404.17, 311,058.28 and 123,436.31

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Solution

The fourth proportional to 225,404.17, 311,058.28 and 123,436.31 is: 170,342.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,404.17 : 311,058.28 = 123,436.31 : x
  2. Step 2: Convert to fraction form
    225,404.17/311,058.28 = 123,436.31/x
  3. Step 3: Cross multiply
    225,404.17x = 311,058.28 × 123,436.31
  4. Step 4: Simplify right side
    225,404.17x = 38,395,884,414.26
  5. Step 5: Solve for x
    x = 38,395,884,414.26/225,404.17
  6. Step 6: Final answer
    x = 170,342.39

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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.