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Finding the Fourth Proportional to 193,200.80, 289,801.20 and 137,213.60

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Solution

The fourth proportional to 193,200.80, 289,801.20 and 137,213.60 is: 205,820.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,200.80 : 289,801.20 = 137,213.60 : x
  2. Step 2: Convert to fraction form
    193,200.80/289,801.20 = 137,213.60/x
  3. Step 3: Cross multiply
    193,200.80x = 289,801.20 × 137,213.60
  4. Step 4: Simplify right side
    193,200.80x = 39,764,665,936.32
  5. Step 5: Solve for x
    x = 39,764,665,936.32/193,200.80
  6. Step 6: Final answer
    x = 205,820.40

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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.