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Finding the Fourth Proportional to 200,632.35, 300,861.04 and 75,885.87

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Solution

The fourth proportional to 200,632.35, 300,861.04 and 75,885.87 is: 113,795.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,632.35 : 300,861.04 = 75,885.87 : x
  2. Step 2: Convert to fraction form
    200,632.35/300,861.04 = 75,885.87/x
  3. Step 3: Cross multiply
    200,632.35x = 300,861.04 × 75,885.87
  4. Step 4: Simplify right side
    200,632.35x = 22,831,101,390.08
  5. Step 5: Solve for x
    x = 22,831,101,390.08/200,632.35
  6. Step 6: Final answer
    x = 113,795.71

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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.