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Finding the Fourth Proportional to 228,046.51, 314,676.93 and 126,058.24

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Solution

The fourth proportional to 228,046.51, 314,676.93 and 126,058.24 is: 173,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,046.51 : 314,676.93 = 126,058.24 : x
  2. Step 2: Convert to fraction form
    228,046.51/314,676.93 = 126,058.24/x
  3. Step 3: Cross multiply
    228,046.51x = 314,676.93 × 126,058.24
  4. Step 4: Simplify right side
    228,046.51x = 39,667,619,964.40
  5. Step 5: Solve for x
    x = 39,667,619,964.40/228,046.51
  6. Step 6: Final answer
    x = 173,945.31

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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.