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Finding the Fourth Proportional to 201,313.70, 301,606.05 and 159,469.10

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Solution

The fourth proportional to 201,313.70, 301,606.05 and 159,469.10 is: 238,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,313.70 : 301,606.05 = 159,469.10 : x
  2. Step 2: Convert to fraction form
    201,313.70/301,606.05 = 159,469.10/x
  3. Step 3: Cross multiply
    201,313.70x = 301,606.05 × 159,469.10
  4. Step 4: Simplify right side
    201,313.70x = 48,096,845,348.06
  5. Step 5: Solve for x
    x = 48,096,845,348.06/201,313.70
  6. Step 6: Final answer
    x = 238,914.91

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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.