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Finding the Fourth Proportional to 149,088, 205,741.44 and 82,020

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Solution

The fourth proportional to 149,088, 205,741.44 and 82,020 is: 113,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,088 : 205,741.44 = 82,020 : x
  2. Step 2: Convert to fraction form
    149,088/205,741.44 = 82,020/x
  3. Step 3: Cross multiply
    149,088x = 205,741.44 × 82,020
  4. Step 4: Simplify right side
    149,088x = 16,874,912,908.80
  5. Step 5: Solve for x
    x = 16,874,912,908.80/149,088
  6. Step 6: Final answer
    x = 113,187.60

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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.