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Finding the Fourth Proportional to 201,462.20, 301,828.80 and 159,617.60

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Solution

The fourth proportional to 201,462.20, 301,828.80 and 159,617.60 is: 239,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,462.20 : 301,828.80 = 159,617.60 : x
  2. Step 2: Convert to fraction form
    201,462.20/301,828.80 = 159,617.60/x
  3. Step 3: Cross multiply
    201,462.20x = 301,828.80 × 159,617.60
  4. Step 4: Simplify right side
    201,462.20x = 48,177,188,666.88
  5. Step 5: Solve for x
    x = 48,177,188,666.88/201,462.20
  6. Step 6: Final answer
    x = 239,137.61

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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.