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Finding the Fourth Proportional to 203,157.91, 280,288.92 and 117,114.13

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Solution

The fourth proportional to 203,157.91, 280,288.92 and 117,114.13 is: 161,577.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,157.91 : 280,288.92 = 117,114.13 : x
  2. Step 2: Convert to fraction form
    203,157.91/280,288.92 = 117,114.13/x
  3. Step 3: Cross multiply
    203,157.91x = 280,288.92 × 117,114.13
  4. Step 4: Simplify right side
    203,157.91x = 32,825,793,014.44
  5. Step 5: Solve for x
    x = 32,825,793,014.44/203,157.91
  6. Step 6: Final answer
    x = 161,577.73

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1.5x scale

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.