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Finding the Fourth Proportional to 205,078.20, 307,617.30 and 200,470.20

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Solution

The fourth proportional to 205,078.20, 307,617.30 and 200,470.20 is: 300,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,078.20 : 307,617.30 = 200,470.20 : x
  2. Step 2: Convert to fraction form
    205,078.20/307,617.30 = 200,470.20/x
  3. Step 3: Cross multiply
    205,078.20x = 307,617.30 × 200,470.20
  4. Step 4: Simplify right side
    205,078.20x = 61,668,101,654.46
  5. Step 5: Solve for x
    x = 61,668,101,654.46/205,078.20
  6. Step 6: Final answer
    x = 300,705.30

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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.