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Finding the Fourth Proportional to 277,174.36, 382,500.65 and 149,849.92

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Solution

The fourth proportional to 277,174.36, 382,500.65 and 149,849.92 is: 206,792.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,174.36 : 382,500.65 = 149,849.92 : x
  2. Step 2: Convert to fraction form
    277,174.36/382,500.65 = 149,849.92/x
  3. Step 3: Cross multiply
    277,174.36x = 382,500.65 × 149,849.92
  4. Step 4: Simplify right side
    277,174.36x = 57,317,691,802.45
  5. Step 5: Solve for x
    x = 57,317,691,802.45/277,174.36
  6. Step 6: Final answer
    x = 206,792.91

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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.