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Finding the Fourth Proportional to 206,887.56, 285,505.02 and 117,463.56

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Solution

The fourth proportional to 206,887.56, 285,505.02 and 117,463.56 is: 162,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,887.56 : 285,505.02 = 117,463.56 : x
  2. Step 2: Convert to fraction form
    206,887.56/285,505.02 = 117,463.56/x
  3. Step 3: Cross multiply
    206,887.56x = 285,505.02 × 117,463.56
  4. Step 4: Simplify right side
    206,887.56x = 33,536,436,047.07
  5. Step 5: Solve for x
    x = 33,536,436,047.07/206,887.56
  6. Step 6: Final answer
    x = 162,099.82

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1.5x scale

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.