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Finding the Fourth Proportional to 201,581.20, 302,242.20 and 83,299.60

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Solution

The fourth proportional to 201,581.20, 302,242.20 and 83,299.60 is: 124,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,581.20 : 302,242.20 = 83,299.60 : x
  2. Step 2: Convert to fraction form
    201,581.20/302,242.20 = 83,299.60/x
  3. Step 3: Cross multiply
    201,581.20x = 302,242.20 × 83,299.60
  4. Step 4: Simplify right side
    201,581.20x = 25,176,654,363.12
  5. Step 5: Solve for x
    x = 25,176,654,363.12/201,581.20
  6. Step 6: Final answer
    x = 124,895.85

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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.