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Finding the Fourth Proportional to 205,197.60, 307,732.40 and 80,576.80

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Solution

The fourth proportional to 205,197.60, 307,732.40 and 80,576.80 is: 120,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,197.60 : 307,732.40 = 80,576.80 : x
  2. Step 2: Convert to fraction form
    205,197.60/307,732.40 = 80,576.80/x
  3. Step 3: Cross multiply
    205,197.60x = 307,732.40 × 80,576.80
  4. Step 4: Simplify right side
    205,197.60x = 24,796,092,048.32
  5. Step 5: Solve for x
    x = 24,796,092,048.32/205,197.60
  6. Step 6: Final answer
    x = 120,840.07

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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.