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Finding the Fourth Proportional to 226,616.16, 312,726.24 and 126,012

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Solution

The fourth proportional to 226,616.16, 312,726.24 and 126,012 is: 173,894.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,616.16 : 312,726.24 = 126,012 : x
  2. Step 2: Convert to fraction form
    226,616.16/312,726.24 = 126,012/x
  3. Step 3: Cross multiply
    226,616.16x = 312,726.24 × 126,012
  4. Step 4: Simplify right side
    226,616.16x = 39,407,258,954.88
  5. Step 5: Solve for x
    x = 39,407,258,954.88/226,616.16
  6. Step 6: Final answer
    x = 173,894.30

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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.