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Finding the Fourth Proportional to 282,625.36, 389,911.24 and 182,082

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Solution

The fourth proportional to 282,625.36, 389,911.24 and 182,082 is: 251,201.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,625.36 : 389,911.24 = 182,082 : x
  2. Step 2: Convert to fraction form
    282,625.36/389,911.24 = 182,082/x
  3. Step 3: Cross multiply
    282,625.36x = 389,911.24 × 182,082
  4. Step 4: Simplify right side
    282,625.36x = 70,995,818,401.68
  5. Step 5: Solve for x
    x = 70,995,818,401.68/282,625.36
  6. Step 6: Final answer
    x = 251,201.16

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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.