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Finding the Fourth Proportional to 234,014.20, 351,021.30 and 205,145.80

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Solution

The fourth proportional to 234,014.20, 351,021.30 and 205,145.80 is: 307,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,014.20 : 351,021.30 = 205,145.80 : x
  2. Step 2: Convert to fraction form
    234,014.20/351,021.30 = 205,145.80/x
  3. Step 3: Cross multiply
    234,014.20x = 351,021.30 × 205,145.80
  4. Step 4: Simplify right side
    234,014.20x = 72,010,545,405.54
  5. Step 5: Solve for x
    x = 72,010,545,405.54/234,014.20
  6. Step 6: Final answer
    x = 307,718.70

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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.