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Finding the Fourth Proportional to 201,314.20, 301,606.80 and 159,469.60

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Solution

The fourth proportional to 201,314.20, 301,606.80 and 159,469.60 is: 238,915.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,314.20 : 301,606.80 = 159,469.60 : x
  2. Step 2: Convert to fraction form
    201,314.20/301,606.80 = 159,469.60/x
  3. Step 3: Cross multiply
    201,314.20x = 301,606.80 × 159,469.60
  4. Step 4: Simplify right side
    201,314.20x = 48,097,115,753.28
  5. Step 5: Solve for x
    x = 48,097,115,753.28/201,314.20
  6. Step 6: Final answer
    x = 238,915.66

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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.