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Finding the Fourth Proportional to 330,876.92, 496,073.40 and 106,109.42

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Solution

The fourth proportional to 330,876.92, 496,073.40 and 106,109.42 is: 159,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,876.92 : 496,073.40 = 106,109.42 : x
  2. Step 2: Convert to fraction form
    330,876.92/496,073.40 = 106,109.42/x
  3. Step 3: Cross multiply
    330,876.92x = 496,073.40 × 106,109.42
  4. Step 4: Simplify right side
    330,876.92x = 52,638,058,271.06
  5. Step 5: Solve for x
    x = 52,638,058,271.06/330,876.92
  6. Step 6: Final answer
    x = 159,086.52

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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.