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Finding the Fourth Proportional to 262,578.14, 362,355.99 and 143,346.14

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Solution

The fourth proportional to 262,578.14, 362,355.99 and 143,346.14 is: 197,816.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,578.14 : 362,355.99 = 143,346.14 : x
  2. Step 2: Convert to fraction form
    262,578.14/362,355.99 = 143,346.14/x
  3. Step 3: Cross multiply
    262,578.14x = 362,355.99 × 143,346.14
  4. Step 4: Simplify right side
    262,578.14x = 51,942,332,472.38
  5. Step 5: Solve for x
    x = 51,942,332,472.38/262,578.14
  6. Step 6: Final answer
    x = 197,816.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.