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Finding the Fourth Proportional to 193,171.20, 289,756.80 and 133,036.80

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Solution

The fourth proportional to 193,171.20, 289,756.80 and 133,036.80 is: 199,555.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,171.20 : 289,756.80 = 133,036.80 : x
  2. Step 2: Convert to fraction form
    193,171.20/289,756.80 = 133,036.80/x
  3. Step 3: Cross multiply
    193,171.20x = 289,756.80 × 133,036.80
  4. Step 4: Simplify right side
    193,171.20x = 38,548,317,450.24
  5. Step 5: Solve for x
    x = 38,548,317,450.24/193,171.20
  6. Step 6: Final answer
    x = 199,555.20

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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.