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Finding the Fourth Proportional to 205,166.60, 307,749.90 and 204,000.20

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Solution

The fourth proportional to 205,166.60, 307,749.90 and 204,000.20 is: 306,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,166.60 : 307,749.90 = 204,000.20 : x
  2. Step 2: Convert to fraction form
    205,166.60/307,749.90 = 204,000.20/x
  3. Step 3: Cross multiply
    205,166.60x = 307,749.90 × 204,000.20
  4. Step 4: Simplify right side
    205,166.60x = 62,781,041,149.98
  5. Step 5: Solve for x
    x = 62,781,041,149.98/205,166.60
  6. Step 6: Final answer
    x = 306,000.30

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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.