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Finding the Fourth Proportional to 193,212.80, 289,819.20 and 137,225.60

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Solution

The fourth proportional to 193,212.80, 289,819.20 and 137,225.60 is: 205,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,212.80 : 289,819.20 = 137,225.60 : x
  2. Step 2: Convert to fraction form
    193,212.80/289,819.20 = 137,225.60/x
  3. Step 3: Cross multiply
    193,212.80x = 289,819.20 × 137,225.60
  4. Step 4: Simplify right side
    193,212.80x = 39,770,613,611.52
  5. Step 5: Solve for x
    x = 39,770,613,611.52/193,212.80
  6. Step 6: Final answer
    x = 205,838.40

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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.