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Finding the Fourth Proportional to 253,833.60, 380,751.24 and 64,293.90

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Solution

The fourth proportional to 253,833.60, 380,751.24 and 64,293.90 is: 96,441.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,833.60 : 380,751.24 = 64,293.90 : x
  2. Step 2: Convert to fraction form
    253,833.60/380,751.24 = 64,293.90/x
  3. Step 3: Cross multiply
    253,833.60x = 380,751.24 × 64,293.90
  4. Step 4: Simplify right side
    253,833.60x = 24,479,982,149.44
  5. Step 5: Solve for x
    x = 24,479,982,149.44/253,833.60
  6. Step 6: Final answer
    x = 96,441.06

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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.