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Finding the Fourth Proportional to 201,558.57, 302,311.72 and 83,213.92

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Solution

The fourth proportional to 201,558.57, 302,311.72 and 83,213.92 is: 124,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,558.57 : 302,311.72 = 83,213.92 : x
  2. Step 2: Convert to fraction form
    201,558.57/302,311.72 = 83,213.92/x
  3. Step 3: Cross multiply
    201,558.57x = 302,311.72 × 83,213.92
  4. Step 4: Simplify right side
    201,558.57x = 25,156,543,283.14
  5. Step 5: Solve for x
    x = 25,156,543,283.14/201,558.57
  6. Step 6: Final answer
    x = 124,810.09

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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.