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Finding the Fourth Proportional to 224,058.36, 309,186.54 and 123,456.36

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Solution

The fourth proportional to 224,058.36, 309,186.54 and 123,456.36 is: 170,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,058.36 : 309,186.54 = 123,456.36 : x
  2. Step 2: Convert to fraction form
    224,058.36/309,186.54 = 123,456.36/x
  3. Step 3: Cross multiply
    224,058.36x = 309,186.54 × 123,456.36
  4. Step 4: Simplify right side
    224,058.36x = 38,171,044,789.39
  5. Step 5: Solve for x
    x = 38,171,044,789.39/224,058.36
  6. Step 6: Final answer
    x = 170,362.06

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1.5x scale

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.