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Finding the Fourth Proportional to 201,150.09, 301,764.06 and 68,052.06

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Solution

The fourth proportional to 201,150.09, 301,764.06 and 68,052.06 is: 102,091.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,150.09 : 301,764.06 = 68,052.06 : x
  2. Step 2: Convert to fraction form
    201,150.09/301,764.06 = 68,052.06/x
  3. Step 3: Cross multiply
    201,150.09x = 301,764.06 × 68,052.06
  4. Step 4: Simplify right side
    201,150.09x = 20,535,665,916.96
  5. Step 5: Solve for x
    x = 20,535,665,916.96/201,150.09
  6. Step 6: Final answer
    x = 102,091.26

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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.