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Finding the Fourth Proportional to 205,843.30, 284,057.64 and 113,966.67

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Solution

The fourth proportional to 205,843.30, 284,057.64 and 113,966.67 is: 157,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,843.30 : 284,057.64 = 113,966.67 : x
  2. Step 2: Convert to fraction form
    205,843.30/284,057.64 = 113,966.67/x
  3. Step 3: Cross multiply
    205,843.30x = 284,057.64 × 113,966.67
  4. Step 4: Simplify right side
    205,843.30x = 32,373,102,749.03
  5. Step 5: Solve for x
    x = 32,373,102,749.03/205,843.30
  6. Step 6: Final answer
    x = 157,270.62

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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.