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Finding the Fourth Proportional to 227,058.24, 313,340.16 and 126,456

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Solution

The fourth proportional to 227,058.24, 313,340.16 and 126,456 is: 174,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,058.24 : 313,340.16 = 126,456 : x
  2. Step 2: Convert to fraction form
    227,058.24/313,340.16 = 126,456/x
  3. Step 3: Cross multiply
    227,058.24x = 313,340.16 × 126,456
  4. Step 4: Simplify right side
    227,058.24x = 39,623,743,272.96
  5. Step 5: Solve for x
    x = 39,623,743,272.96/227,058.24
  6. Step 6: Final answer
    x = 174,509.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.