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Finding the Fourth Proportional to 201,664.50, 302,475.78 and 126,562.02

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Solution

The fourth proportional to 201,664.50, 302,475.78 and 126,562.02 is: 189,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,664.50 : 302,475.78 = 126,562.02 : x
  2. Step 2: Convert to fraction form
    201,664.50/302,475.78 = 126,562.02/x
  3. Step 3: Cross multiply
    201,664.50x = 302,475.78 × 126,562.02
  4. Step 4: Simplify right side
    201,664.50x = 38,281,945,717.88
  5. Step 5: Solve for x
    x = 38,281,945,717.88/201,664.50
  6. Step 6: Final answer
    x = 189,829.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.