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Finding the Fourth Proportional to 206,199.80, 309,303.77 and 93,801.68

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Solution

The fourth proportional to 206,199.80, 309,303.77 and 93,801.68 is: 140,704.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,199.80 : 309,303.77 = 93,801.68 : x
  2. Step 2: Convert to fraction form
    206,199.80/309,303.77 = 93,801.68/x
  3. Step 3: Cross multiply
    206,199.80x = 309,303.77 × 93,801.68
  4. Step 4: Simplify right side
    206,199.80x = 29,013,211,240.81
  5. Step 5: Solve for x
    x = 29,013,211,240.81/206,199.80
  6. Step 6: Final answer
    x = 140,704.37

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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.