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Finding the Fourth Proportional to 166,825.20, 250,237.80 and 42,166.20

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Solution

The fourth proportional to 166,825.20, 250,237.80 and 42,166.20 is: 63,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,825.20 : 250,237.80 = 42,166.20 : x
  2. Step 2: Convert to fraction form
    166,825.20/250,237.80 = 42,166.20/x
  3. Step 3: Cross multiply
    166,825.20x = 250,237.80 × 42,166.20
  4. Step 4: Simplify right side
    166,825.20x = 10,551,577,122.36
  5. Step 5: Solve for x
    x = 10,551,577,122.36/166,825.20
  6. Step 6: Final answer
    x = 63,249.30

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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.