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Finding the Fourth Proportional to 206,200.76, 284,560.49 and 115,576.94

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Solution

The fourth proportional to 206,200.76, 284,560.49 and 115,576.94 is: 159,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,200.76 : 284,560.49 = 115,576.94 : x
  2. Step 2: Convert to fraction form
    206,200.76/284,560.49 = 115,576.94/x
  3. Step 3: Cross multiply
    206,200.76x = 284,560.49 × 115,576.94
  4. Step 4: Simplify right side
    206,200.76x = 32,888,628,678.41
  5. Step 5: Solve for x
    x = 32,888,628,678.41/206,200.76
  6. Step 6: Final answer
    x = 159,498.10

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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.