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Finding the Fourth Proportional to 206,203.50, 284,560.83 and 116,779.50

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Solution

The fourth proportional to 206,203.50, 284,560.83 and 116,779.50 is: 161,155.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,203.50 : 284,560.83 = 116,779.50 : x
  2. Step 2: Convert to fraction form
    206,203.50/284,560.83 = 116,779.50/x
  3. Step 3: Cross multiply
    206,203.50x = 284,560.83 × 116,779.50
  4. Step 4: Simplify right side
    206,203.50x = 33,230,871,446.99
  5. Step 5: Solve for x
    x = 33,230,871,446.99/206,203.50
  6. Step 6: Final answer
    x = 161,155.71

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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.