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Finding the Fourth Proportional to 307,311.83, 460,861.14 and 107,627.81

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Solution

The fourth proportional to 307,311.83, 460,861.14 and 107,627.81 is: 161,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,311.83 : 460,861.14 = 107,627.81 : x
  2. Step 2: Convert to fraction form
    307,311.83/460,861.14 = 107,627.81/x
  3. Step 3: Cross multiply
    307,311.83x = 460,861.14 × 107,627.81
  4. Step 4: Simplify right side
    307,311.83x = 49,601,475,212.30
  5. Step 5: Solve for x
    x = 49,601,475,212.30/307,311.83
  6. Step 6: Final answer
    x = 161,404.38

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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.