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Finding the Fourth Proportional to 166,797.52, 250,196.28 and 42,138.52

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Solution

The fourth proportional to 166,797.52, 250,196.28 and 42,138.52 is: 63,207.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,797.52 : 250,196.28 = 42,138.52 : x
  2. Step 2: Convert to fraction form
    166,797.52/250,196.28 = 42,138.52/x
  3. Step 3: Cross multiply
    166,797.52x = 250,196.28 × 42,138.52
  4. Step 4: Simplify right side
    166,797.52x = 10,542,900,948.71
  5. Step 5: Solve for x
    x = 10,542,900,948.71/166,797.52
  6. Step 6: Final answer
    x = 63,207.78

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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.