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Finding the Fourth Proportional to 209,593.38, 289,240.66 and 114,099.85

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Solution

The fourth proportional to 209,593.38, 289,240.66 and 114,099.85 is: 157,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,593.38 : 289,240.66 = 114,099.85 : x
  2. Step 2: Convert to fraction form
    209,593.38/289,240.66 = 114,099.85/x
  3. Step 3: Cross multiply
    209,593.38x = 289,240.66 × 114,099.85
  4. Step 4: Simplify right side
    209,593.38x = 33,002,316,424.08
  5. Step 5: Solve for x
    x = 33,002,316,424.08/209,593.38
  6. Step 6: Final answer
    x = 157,458.77

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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.