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Finding the Fourth Proportional to 228,057.96, 314,388.90 and 159,862.44

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Solution

The fourth proportional to 228,057.96, 314,388.90 and 159,862.44 is: 220,378.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,057.96 : 314,388.90 = 159,862.44 : x
  2. Step 2: Convert to fraction form
    228,057.96/314,388.90 = 159,862.44/x
  3. Step 3: Cross multiply
    228,057.96x = 314,388.90 × 159,862.44
  4. Step 4: Simplify right side
    228,057.96x = 50,258,976,662.92
  5. Step 5: Solve for x
    x = 50,258,976,662.92/228,057.96
  6. Step 6: Final answer
    x = 220,378.09

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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.