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Finding the Fourth Proportional to 277,069.72, 382,355.62 and 149,745

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Solution

The fourth proportional to 277,069.72, 382,355.62 and 149,745 is: 206,647.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,069.72 : 382,355.62 = 149,745 : x
  2. Step 2: Convert to fraction form
    277,069.72/382,355.62 = 149,745/x
  3. Step 3: Cross multiply
    277,069.72x = 382,355.62 × 149,745
  4. Step 4: Simplify right side
    277,069.72x = 57,255,842,316.90
  5. Step 5: Solve for x
    x = 57,255,842,316.90/277,069.72
  6. Step 6: Final answer
    x = 206,647.78

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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.