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Finding the Fourth Proportional to 206,596.68, 309,603.42 and 88,226.52

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Solution

The fourth proportional to 206,596.68, 309,603.42 and 88,226.52 is: 132,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,596.68 : 309,603.42 = 88,226.52 : x
  2. Step 2: Convert to fraction form
    206,596.68/309,603.42 = 88,226.52/x
  3. Step 3: Cross multiply
    206,596.68x = 309,603.42 × 88,226.52
  4. Step 4: Simplify right side
    206,596.68x = 27,315,232,326.70
  5. Step 5: Solve for x
    x = 27,315,232,326.70/206,596.68
  6. Step 6: Final answer
    x = 132,215.25

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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.