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Finding the Fourth Proportional to 201,310.52, 301,912.92 and 106,412.94

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Solution

The fourth proportional to 201,310.52, 301,912.92 and 106,412.94 is: 159,591.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,310.52 : 301,912.92 = 106,412.94 : x
  2. Step 2: Convert to fraction form
    201,310.52/301,912.92 = 106,412.94/x
  3. Step 3: Cross multiply
    201,310.52x = 301,912.92 × 106,412.94
  4. Step 4: Simplify right side
    201,310.52x = 32,127,441,441.18
  5. Step 5: Solve for x
    x = 32,127,441,441.18/201,310.52
  6. Step 6: Final answer
    x = 159,591.47

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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.