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Finding the Fourth Proportional to 289,236, 434,134.57 and 139,581.62

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Solution

The fourth proportional to 289,236, 434,134.57 and 139,581.62 is: 209,507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,236 : 434,134.57 = 139,581.62 : x
  2. Step 2: Convert to fraction form
    289,236/434,134.57 = 139,581.62/x
  3. Step 3: Cross multiply
    289,236x = 434,134.57 × 139,581.62
  4. Step 4: Simplify right side
    289,236x = 60,597,206,578.60
  5. Step 5: Solve for x
    x = 60,597,206,578.60/289,236
  6. Step 6: Final answer
    x = 209,507.83

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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.