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Finding the Fourth Proportional to 277,289.67, 382,660 and 149,965.26

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Solution

The fourth proportional to 277,289.67, 382,660 and 149,965.26 is: 206,952.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,289.67 : 382,660 = 149,965.26 : x
  2. Step 2: Convert to fraction form
    277,289.67/382,660 = 149,965.26/x
  3. Step 3: Cross multiply
    277,289.67x = 382,660 × 149,965.26
  4. Step 4: Simplify right side
    277,289.67x = 57,385,706,391.60
  5. Step 5: Solve for x
    x = 57,385,706,391.60/277,289.67
  6. Step 6: Final answer
    x = 206,952.20

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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.