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Finding the Fourth Proportional to 213,168.24, 294,172.22 and 117,675

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Solution

The fourth proportional to 213,168.24, 294,172.22 and 117,675 is: 162,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,168.24 : 294,172.22 = 117,675 : x
  2. Step 2: Convert to fraction form
    213,168.24/294,172.22 = 117,675/x
  3. Step 3: Cross multiply
    213,168.24x = 294,172.22 × 117,675
  4. Step 4: Simplify right side
    213,168.24x = 34,616,716,282.69
  5. Step 5: Solve for x
    x = 34,616,716,282.69/213,168.24
  6. Step 6: Final answer
    x = 162,391.53

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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.