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Finding the Fourth Proportional to 277,100.83, 382,400.90 and 149,776.12

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Solution

The fourth proportional to 277,100.83, 382,400.90 and 149,776.12 is: 206,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,100.83 : 382,400.90 = 149,776.12 : x
  2. Step 2: Convert to fraction form
    277,100.83/382,400.90 = 149,776.12/x
  3. Step 3: Cross multiply
    277,100.83x = 382,400.90 × 149,776.12
  4. Step 4: Simplify right side
    277,100.83x = 57,274,523,086.51
  5. Step 5: Solve for x
    x = 57,274,523,086.51/277,100.83
  6. Step 6: Final answer
    x = 206,691.99

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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.