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Finding the Fourth Proportional to 285,311.92, 393,730.36 and 157,987.48

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Solution

The fourth proportional to 285,311.92, 393,730.36 and 157,987.48 is: 218,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,311.92 : 393,730.36 = 157,987.48 : x
  2. Step 2: Convert to fraction form
    285,311.92/393,730.36 = 157,987.48/x
  3. Step 3: Cross multiply
    285,311.92x = 393,730.36 × 157,987.48
  4. Step 4: Simplify right side
    285,311.92x = 62,204,467,375.89
  5. Step 5: Solve for x
    x = 62,204,467,375.89/285,311.92
  6. Step 6: Final answer
    x = 218,022.67

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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.