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Finding the Fourth Proportional to 277,229.76, 382,577.34 and 149,905.32

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Solution

The fourth proportional to 277,229.76, 382,577.34 and 149,905.32 is: 206,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,229.76 : 382,577.34 = 149,905.32 : x
  2. Step 2: Convert to fraction form
    277,229.76/382,577.34 = 149,905.32/x
  3. Step 3: Cross multiply
    277,229.76x = 382,577.34 × 149,905.32
  4. Step 4: Simplify right side
    277,229.76x = 57,350,378,577.45
  5. Step 5: Solve for x
    x = 57,350,378,577.45/277,229.76
  6. Step 6: Final answer
    x = 206,869.49

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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.