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Finding the Fourth Proportional to 201,232.20, 301,502.70 and 106,321.80

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Solution

The fourth proportional to 201,232.20, 301,502.70 and 106,321.80 is: 159,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,232.20 : 301,502.70 = 106,321.80 : x
  2. Step 2: Convert to fraction form
    201,232.20/301,502.70 = 106,321.80/x
  3. Step 3: Cross multiply
    201,232.20x = 301,502.70 × 106,321.80
  4. Step 4: Simplify right side
    201,232.20x = 32,056,309,768.86
  5. Step 5: Solve for x
    x = 32,056,309,768.86/201,232.20
  6. Step 6: Final answer
    x = 159,300.10

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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.