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Finding the Fourth Proportional to 128,000.20, 192,000.30 and 109,337.80

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Solution

The fourth proportional to 128,000.20, 192,000.30 and 109,337.80 is: 164,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,000.20 : 192,000.30 = 109,337.80 : x
  2. Step 2: Convert to fraction form
    128,000.20/192,000.30 = 109,337.80/x
  3. Step 3: Cross multiply
    128,000.20x = 192,000.30 × 109,337.80
  4. Step 4: Simplify right side
    128,000.20x = 20,992,890,401.34
  5. Step 5: Solve for x
    x = 20,992,890,401.34/128,000.20
  6. Step 6: Final answer
    x = 164,006.70

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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.