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Finding the Fourth Proportional to 205,108.20, 307,662.30 and 135,066.60

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Solution

The fourth proportional to 205,108.20, 307,662.30 and 135,066.60 is: 202,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,108.20 : 307,662.30 = 135,066.60 : x
  2. Step 2: Convert to fraction form
    205,108.20/307,662.30 = 135,066.60/x
  3. Step 3: Cross multiply
    205,108.20x = 307,662.30 × 135,066.60
  4. Step 4: Simplify right side
    205,108.20x = 41,554,900,809.18
  5. Step 5: Solve for x
    x = 41,554,900,809.18/205,108.20
  6. Step 6: Final answer
    x = 202,599.90

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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.