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Finding the Fourth Proportional to 253,832.82, 380,750.13 and 64,293.09

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Solution

The fourth proportional to 253,832.82, 380,750.13 and 64,293.09 is: 96,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,832.82 : 380,750.13 = 64,293.09 : x
  2. Step 2: Convert to fraction form
    253,832.82/380,750.13 = 64,293.09/x
  3. Step 3: Cross multiply
    253,832.82x = 380,750.13 × 64,293.09
  4. Step 4: Simplify right side
    253,832.82x = 24,479,602,375.60
  5. Step 5: Solve for x
    x = 24,479,602,375.60/253,832.82
  6. Step 6: Final answer
    x = 96,439.86

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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.