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Finding the Fourth Proportional to 204,077.92, 306,043.44 and 70,924

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Solution

The fourth proportional to 204,077.92, 306,043.44 and 70,924 is: 106,360.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,077.92 : 306,043.44 = 70,924 : x
  2. Step 2: Convert to fraction form
    204,077.92/306,043.44 = 70,924/x
  3. Step 3: Cross multiply
    204,077.92x = 306,043.44 × 70,924
  4. Step 4: Simplify right side
    204,077.92x = 21,705,824,938.56
  5. Step 5: Solve for x
    x = 21,705,824,938.56/204,077.92
  6. Step 6: Final answer
    x = 106,360.48

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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.