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Finding the Fourth Proportional to 149,548.64, 206,374 and 82,480.64

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Solution

The fourth proportional to 149,548.64, 206,374 and 82,480.64 is: 113,821.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,548.64 : 206,374 = 82,480.64 : x
  2. Step 2: Convert to fraction form
    149,548.64/206,374 = 82,480.64/x
  3. Step 3: Cross multiply
    149,548.64x = 206,374 × 82,480.64
  4. Step 4: Simplify right side
    149,548.64x = 17,021,859,599.36
  5. Step 5: Solve for x
    x = 17,021,859,599.36/149,548.64
  6. Step 6: Final answer
    x = 113,821.56

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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.