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Finding the Fourth Proportional to 262,314, 361,993.32 and 143,082

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Solution

The fourth proportional to 262,314, 361,993.32 and 143,082 is: 197,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,314 : 361,993.32 = 143,082 : x
  2. Step 2: Convert to fraction form
    262,314/361,993.32 = 143,082/x
  3. Step 3: Cross multiply
    262,314x = 361,993.32 × 143,082
  4. Step 4: Simplify right side
    262,314x = 51,794,728,212.24
  5. Step 5: Solve for x
    x = 51,794,728,212.24/262,314
  6. Step 6: Final answer
    x = 197,453.16

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