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Finding the Fourth Proportional to 201,983.76, 302,882.53 and 59,778.19

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Solution

The fourth proportional to 201,983.76, 302,882.53 and 59,778.19 is: 89,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,983.76 : 302,882.53 = 59,778.19 : x
  2. Step 2: Convert to fraction form
    201,983.76/302,882.53 = 59,778.19/x
  3. Step 3: Cross multiply
    201,983.76x = 302,882.53 × 59,778.19
  4. Step 4: Simplify right side
    201,983.76x = 18,105,769,257.27
  5. Step 5: Solve for x
    x = 18,105,769,257.27/201,983.76
  6. Step 6: Final answer
    x = 89,639.73

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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.