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Finding the Fourth Proportional to 280,003.38, 386,396.34 and 159,157.86

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Solution

The fourth proportional to 280,003.38, 386,396.34 and 159,157.86 is: 219,633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,003.38 : 386,396.34 = 159,157.86 : x
  2. Step 2: Convert to fraction form
    280,003.38/386,396.34 = 159,157.86/x
  3. Step 3: Cross multiply
    280,003.38x = 386,396.34 × 159,157.86
  4. Step 4: Simplify right side
    280,003.38x = 61,498,014,586.23
  5. Step 5: Solve for x
    x = 61,498,014,586.23/280,003.38
  6. Step 6: Final answer
    x = 219,633.12

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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.