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Finding the Fourth Proportional to 206,533.56, 309,832.76 and 88,205.52

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Solution

The fourth proportional to 206,533.56, 309,832.76 and 88,205.52 is: 132,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,533.56 : 309,832.76 = 88,205.52 : x
  2. Step 2: Convert to fraction form
    206,533.56/309,832.76 = 88,205.52/x
  3. Step 3: Cross multiply
    206,533.56x = 309,832.76 × 88,205.52
  4. Step 4: Simplify right side
    206,533.56x = 27,328,959,708.84
  5. Step 5: Solve for x
    x = 27,328,959,708.84/206,533.56
  6. Step 6: Final answer
    x = 132,322.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.