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Finding the Fourth Proportional to 193,533.28, 290,318.28 and 75,213.76

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Solution

The fourth proportional to 193,533.28, 290,318.28 and 75,213.76 is: 112,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,533.28 : 290,318.28 = 75,213.76 : x
  2. Step 2: Convert to fraction form
    193,533.28/290,318.28 = 75,213.76/x
  3. Step 3: Cross multiply
    193,533.28x = 290,318.28 × 75,213.76
  4. Step 4: Simplify right side
    193,533.28x = 21,835,929,435.53
  5. Step 5: Solve for x
    x = 21,835,929,435.53/193,533.28
  6. Step 6: Final answer
    x = 112,827.78

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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.