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Finding the Fourth Proportional to 106,180.12, 146,467.62 and 66,367

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Solution

The fourth proportional to 106,180.12, 146,467.62 and 66,367 is: 91,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,180.12 : 146,467.62 = 66,367 : x
  2. Step 2: Convert to fraction form
    106,180.12/146,467.62 = 66,367/x
  3. Step 3: Cross multiply
    106,180.12x = 146,467.62 × 66,367
  4. Step 4: Simplify right side
    106,180.12x = 9,720,616,536.54
  5. Step 5: Solve for x
    x = 9,720,616,536.54/106,180.12
  6. Step 6: Final answer
    x = 91,548.37

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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.