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Finding the Fourth Proportional to 205,090.80, 307,636.20 and 155,324.40

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Solution

The fourth proportional to 205,090.80, 307,636.20 and 155,324.40 is: 232,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,090.80 : 307,636.20 = 155,324.40 : x
  2. Step 2: Convert to fraction form
    205,090.80/307,636.20 = 155,324.40/x
  3. Step 3: Cross multiply
    205,090.80x = 307,636.20 × 155,324.40
  4. Step 4: Simplify right side
    205,090.80x = 47,783,408,183.28
  5. Step 5: Solve for x
    x = 47,783,408,183.28/205,090.80
  6. Step 6: Final answer
    x = 232,986.60

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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.