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Finding the Fourth Proportional to 263,956.92, 364,279.86 and 150,777.24

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Solution

The fourth proportional to 263,956.92, 364,279.86 and 150,777.24 is: 208,083.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,956.92 : 364,279.86 = 150,777.24 : x
  2. Step 2: Convert to fraction form
    263,956.92/364,279.86 = 150,777.24/x
  3. Step 3: Cross multiply
    263,956.92x = 364,279.86 × 150,777.24
  4. Step 4: Simplify right side
    263,956.92x = 54,925,111,878.39
  5. Step 5: Solve for x
    x = 54,925,111,878.39/263,956.92
  6. Step 6: Final answer
    x = 208,083.62

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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.