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Finding the Fourth Proportional to 315,777.92, 474,003.92 and 135,952.32

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Solution

The fourth proportional to 315,777.92, 474,003.92 and 135,952.32 is: 204,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,777.92 : 474,003.92 = 135,952.32 : x
  2. Step 2: Convert to fraction form
    315,777.92/474,003.92 = 135,952.32/x
  3. Step 3: Cross multiply
    315,777.92x = 474,003.92 × 135,952.32
  4. Step 4: Simplify right side
    315,777.92x = 64,441,932,613.09
  5. Step 5: Solve for x
    x = 64,441,932,613.09/315,777.92
  6. Step 6: Final answer
    x = 204,073.59

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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.