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Finding the Fourth Proportional to 227,768.29, 314,322.59 and 125,796.31

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Solution

The fourth proportional to 227,768.29, 314,322.59 and 125,796.31 is: 173,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,768.29 : 314,322.59 = 125,796.31 : x
  2. Step 2: Convert to fraction form
    227,768.29/314,322.59 = 125,796.31/x
  3. Step 3: Cross multiply
    227,768.29x = 314,322.59 × 125,796.31
  4. Step 4: Simplify right side
    227,768.29x = 39,540,621,500.33
  5. Step 5: Solve for x
    x = 39,540,621,500.33/227,768.29
  6. Step 6: Final answer
    x = 173,600.21

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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.