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Finding the Fourth Proportional to 206,326.89, 309,491.37 and 93,928.50

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Solution

The fourth proportional to 206,326.89, 309,491.37 and 93,928.50 is: 140,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,326.89 : 309,491.37 = 93,928.50 : x
  2. Step 2: Convert to fraction form
    206,326.89/309,491.37 = 93,928.50/x
  3. Step 3: Cross multiply
    206,326.89x = 309,491.37 × 93,928.50
  4. Step 4: Simplify right side
    206,326.89x = 29,070,060,147.05
  5. Step 5: Solve for x
    x = 29,070,060,147.05/206,326.89
  6. Step 6: Final answer
    x = 140,893.22

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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.