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Finding the Fourth Proportional to 149,624, 206,485.44 and 82,560.32

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Solution

The fourth proportional to 149,624, 206,485.44 and 82,560.32 is: 113,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,624 : 206,485.44 = 82,560.32 : x
  2. Step 2: Convert to fraction form
    149,624/206,485.44 = 82,560.32/x
  3. Step 3: Cross multiply
    149,624x = 206,485.44 × 82,560.32
  4. Step 4: Simplify right side
    149,624x = 17,047,504,001.74
  5. Step 5: Solve for x
    x = 17,047,504,001.74/149,624
  6. Step 6: Final answer
    x = 113,935.63

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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.