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Finding the Fourth Proportional to 133,644.80, 200,467.20 and 40,138.40

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Solution

The fourth proportional to 133,644.80, 200,467.20 and 40,138.40 is: 60,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,644.80 : 200,467.20 = 40,138.40 : x
  2. Step 2: Convert to fraction form
    133,644.80/200,467.20 = 40,138.40/x
  3. Step 3: Cross multiply
    133,644.80x = 200,467.20 × 40,138.40
  4. Step 4: Simplify right side
    133,644.80x = 8,046,432,660.48
  5. Step 5: Solve for x
    x = 8,046,432,660.48/133,644.80
  6. Step 6: Final answer
    x = 60,207.60

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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.