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Finding the Fourth Proportional to 204,860.80, 307,291.20 and 193,196.80

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Solution

The fourth proportional to 204,860.80, 307,291.20 and 193,196.80 is: 289,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,860.80 : 307,291.20 = 193,196.80 : x
  2. Step 2: Convert to fraction form
    204,860.80/307,291.20 = 193,196.80/x
  3. Step 3: Cross multiply
    204,860.80x = 307,291.20 × 193,196.80
  4. Step 4: Simplify right side
    204,860.80x = 59,367,676,508.16
  5. Step 5: Solve for x
    x = 59,367,676,508.16/204,860.80
  6. Step 6: Final answer
    x = 289,795.20

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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.