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Finding the Fourth Proportional to 206,283.50, 284,671.24 and 116,859.50

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Solution

The fourth proportional to 206,283.50, 284,671.24 and 116,859.50 is: 161,266.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,283.50 : 284,671.24 = 116,859.50 : x
  2. Step 2: Convert to fraction form
    206,283.50/284,671.24 = 116,859.50/x
  3. Step 3: Cross multiply
    206,283.50x = 284,671.24 × 116,859.50
  4. Step 4: Simplify right side
    206,283.50x = 33,266,538,770.78
  5. Step 5: Solve for x
    x = 33,266,538,770.78/206,283.50
  6. Step 6: Final answer
    x = 161,266.12

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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.