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Finding the Fourth Proportional to 232,257.78, 348,402.87 and 92,016

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Solution

The fourth proportional to 232,257.78, 348,402.87 and 92,016 is: 138,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,257.78 : 348,402.87 = 92,016 : x
  2. Step 2: Convert to fraction form
    232,257.78/348,402.87 = 92,016/x
  3. Step 3: Cross multiply
    232,257.78x = 348,402.87 × 92,016
  4. Step 4: Simplify right side
    232,257.78x = 32,058,638,485.92
  5. Step 5: Solve for x
    x = 32,058,638,485.92/232,257.78
  6. Step 6: Final answer
    x = 138,030.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.