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Finding the Fourth Proportional to 201,157.70, 301,906.65 and 82,913.90

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Solution

The fourth proportional to 201,157.70, 301,906.65 and 82,913.90 is: 124,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,157.70 : 301,906.65 = 82,913.90 : x
  2. Step 2: Convert to fraction form
    201,157.70/301,906.65 = 82,913.90/x
  3. Step 3: Cross multiply
    201,157.70x = 301,906.65 × 82,913.90
  4. Step 4: Simplify right side
    201,157.70x = 25,032,257,787.44
  5. Step 5: Solve for x
    x = 25,032,257,787.44/201,157.70
  6. Step 6: Final answer
    x = 124,440.96

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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.