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Finding the Fourth Proportional to 206,775.70, 310,217.55 and 66,537.70

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Solution

The fourth proportional to 206,775.70, 310,217.55 and 66,537.70 is: 99,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,775.70 : 310,217.55 = 66,537.70 : x
  2. Step 2: Convert to fraction form
    206,775.70/310,217.55 = 66,537.70/x
  3. Step 3: Cross multiply
    206,775.70x = 310,217.55 × 66,537.70
  4. Step 4: Simplify right side
    206,775.70x = 20,641,162,276.64
  5. Step 5: Solve for x
    x = 20,641,162,276.64/206,775.70
  6. Step 6: Final answer
    x = 99,823.93

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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.