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Finding the Fourth Proportional to 277,223.88, 382,569.12 and 149,899.44

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Solution

The fourth proportional to 277,223.88, 382,569.12 and 149,899.44 is: 206,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,223.88 : 382,569.12 = 149,899.44 : x
  2. Step 2: Convert to fraction form
    277,223.88/382,569.12 = 149,899.44/x
  3. Step 3: Cross multiply
    277,223.88x = 382,569.12 × 149,899.44
  4. Step 4: Simplify right side
    277,223.88x = 57,346,896,849.29
  5. Step 5: Solve for x
    x = 57,346,896,849.29/277,223.88
  6. Step 6: Final answer
    x = 206,861.32

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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.