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Finding the Fourth Proportional to 209,213.20, 313,474.20 and 178,109.20

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Solution

The fourth proportional to 209,213.20, 313,474.20 and 178,109.20 is: 266,869.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,213.20 : 313,474.20 = 178,109.20 : x
  2. Step 2: Convert to fraction form
    209,213.20/313,474.20 = 178,109.20/x
  3. Step 3: Cross multiply
    209,213.20x = 313,474.20 × 178,109.20
  4. Step 4: Simplify right side
    209,213.20x = 55,832,638,982.64
  5. Step 5: Solve for x
    x = 55,832,638,982.64/209,213.20
  6. Step 6: Final answer
    x = 266,869.58

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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.