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Finding the Fourth Proportional to 205,090.80, 307,636.20 and 172,431.60

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Solution

The fourth proportional to 205,090.80, 307,636.20 and 172,431.60 is: 258,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,090.80 : 307,636.20 = 172,431.60 : x
  2. Step 2: Convert to fraction form
    205,090.80/307,636.20 = 172,431.60/x
  3. Step 3: Cross multiply
    205,090.80x = 307,636.20 × 172,431.60
  4. Step 4: Simplify right side
    205,090.80x = 53,046,202,183.92
  5. Step 5: Solve for x
    x = 53,046,202,183.92/205,090.80
  6. Step 6: Final answer
    x = 258,647.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.