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Finding the Fourth Proportional to 226,439.80, 339,659.70 and 102,023.80

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Solution

The fourth proportional to 226,439.80, 339,659.70 and 102,023.80 is: 153,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,439.80 : 339,659.70 = 102,023.80 : x
  2. Step 2: Convert to fraction form
    226,439.80/339,659.70 = 102,023.80/x
  3. Step 3: Cross multiply
    226,439.80x = 339,659.70 × 102,023.80
  4. Step 4: Simplify right side
    226,439.80x = 34,653,373,300.86
  5. Step 5: Solve for x
    x = 34,653,373,300.86/226,439.80
  6. Step 6: Final answer
    x = 153,035.70

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1.5x scale

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.