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Finding the Fourth Proportional to 228,058.56, 314,721.24 and 127,456.56

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Solution

The fourth proportional to 228,058.56, 314,721.24 and 127,456.56 is: 175,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,058.56 : 314,721.24 = 127,456.56 : x
  2. Step 2: Convert to fraction form
    228,058.56/314,721.24 = 127,456.56/x
  3. Step 3: Cross multiply
    228,058.56x = 314,721.24 × 127,456.56
  4. Step 4: Simplify right side
    228,058.56x = 40,113,286,609.33
  5. Step 5: Solve for x
    x = 40,113,286,609.33/228,058.56
  6. Step 6: Final answer
    x = 175,890.29

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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.