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Finding the Fourth Proportional to 200,917.02, 301,375.50 and 156,576.96

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Solution

The fourth proportional to 200,917.02, 301,375.50 and 156,576.96 is: 234,865.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,917.02 : 301,375.50 = 156,576.96 : x
  2. Step 2: Convert to fraction form
    200,917.02/301,375.50 = 156,576.96/x
  3. Step 3: Cross multiply
    200,917.02x = 301,375.50 × 156,576.96
  4. Step 4: Simplify right side
    200,917.02x = 47,188,459,608.48
  5. Step 5: Solve for x
    x = 47,188,459,608.48/200,917.02
  6. Step 6: Final answer
    x = 234,865.42

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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.