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Finding the Fourth Proportional to 193,228.70, 289,843.05 and 133,094.30

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Solution

The fourth proportional to 193,228.70, 289,843.05 and 133,094.30 is: 199,641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,228.70 : 289,843.05 = 133,094.30 : x
  2. Step 2: Convert to fraction form
    193,228.70/289,843.05 = 133,094.30/x
  3. Step 3: Cross multiply
    193,228.70x = 289,843.05 × 133,094.30
  4. Step 4: Simplify right side
    193,228.70x = 38,576,457,849.62
  5. Step 5: Solve for x
    x = 38,576,457,849.62/193,228.70
  6. Step 6: Final answer
    x = 199,641.45

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Similar ratio
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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.