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Finding the Fourth Proportional to 509,933.93, 764,948.95 and 150,105.02

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Solution

The fourth proportional to 509,933.93, 764,948.95 and 150,105.02 is: 225,171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,933.93 : 764,948.95 = 150,105.02 : x
  2. Step 2: Convert to fraction form
    509,933.93/764,948.95 = 150,105.02/x
  3. Step 3: Cross multiply
    509,933.93x = 764,948.95 × 150,105.02
  4. Step 4: Simplify right side
    509,933.93x = 114,822,673,238.72
  5. Step 5: Solve for x
    x = 114,822,673,238.72/509,933.93
  6. Step 6: Final answer
    x = 225,171.67

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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.