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Finding the Fourth Proportional to 206,846.20, 310,269.30 and 128,114.20

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Solution

The fourth proportional to 206,846.20, 310,269.30 and 128,114.20 is: 192,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,846.20 : 310,269.30 = 128,114.20 : x
  2. Step 2: Convert to fraction form
    206,846.20/310,269.30 = 128,114.20/x
  3. Step 3: Cross multiply
    206,846.20x = 310,269.30 × 128,114.20
  4. Step 4: Simplify right side
    206,846.20x = 39,749,903,154.06
  5. Step 5: Solve for x
    x = 39,749,903,154.06/206,846.20
  6. Step 6: Final answer
    x = 192,171.30

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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.