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Finding the Fourth Proportional to 277,202.97, 382,539.38 and 149,878.53

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Solution

The fourth proportional to 277,202.97, 382,539.38 and 149,878.53 is: 206,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,202.97 : 382,539.38 = 149,878.53 : x
  2. Step 2: Convert to fraction form
    277,202.97/382,539.38 = 149,878.53/x
  3. Step 3: Cross multiply
    277,202.97x = 382,539.38 × 149,878.53
  4. Step 4: Simplify right side
    277,202.97x = 57,334,439,192.12
  5. Step 5: Solve for x
    x = 57,334,439,192.12/277,202.97
  6. Step 6: Final answer
    x = 206,831.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.