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Finding the Fourth Proportional to 201,762.80, 302,571.30 and 81,769.40

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Solution

The fourth proportional to 201,762.80, 302,571.30 and 81,769.40 is: 122,624.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762.80 : 302,571.30 = 81,769.40 : x
  2. Step 2: Convert to fraction form
    201,762.80/302,571.30 = 81,769.40/x
  3. Step 3: Cross multiply
    201,762.80x = 302,571.30 × 81,769.40
  4. Step 4: Simplify right side
    201,762.80x = 24,741,073,658.22
  5. Step 5: Solve for x
    x = 24,741,073,658.22/201,762.80
  6. Step 6: Final answer
    x = 122,624.56

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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.