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Finding the Fourth Proportional to 509,934.80, 764,950.17 and 150,105.89

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Solution

The fourth proportional to 509,934.80, 764,950.17 and 150,105.89 is: 225,172.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,934.80 : 764,950.17 = 150,105.89 : x
  2. Step 2: Convert to fraction form
    509,934.80/764,950.17 = 150,105.89/x
  3. Step 3: Cross multiply
    509,934.80x = 764,950.17 × 150,105.89
  4. Step 4: Simplify right side
    509,934.80x = 114,823,526,073.50
  5. Step 5: Solve for x
    x = 114,823,526,073.50/509,934.80
  6. Step 6: Final answer
    x = 225,172.96

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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.