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Finding the Fourth Proportional to 136,364.49, 188,183.22 and 75,946.77

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Solution

The fourth proportional to 136,364.49, 188,183.22 and 75,946.77 is: 104,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,364.49 : 188,183.22 = 75,946.77 : x
  2. Step 2: Convert to fraction form
    136,364.49/188,183.22 = 75,946.77/x
  3. Step 3: Cross multiply
    136,364.49x = 188,183.22 × 75,946.77
  4. Step 4: Simplify right side
    136,364.49x = 14,291,907,727.20
  5. Step 5: Solve for x
    x = 14,291,907,727.20/136,364.49
  6. Step 6: Final answer
    x = 104,806.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.