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Finding the Fourth Proportional to 277,232.40, 382,580.44 and 149,907.69

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Solution

The fourth proportional to 277,232.40, 382,580.44 and 149,907.69 is: 206,872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,232.40 : 382,580.44 = 149,907.69 : x
  2. Step 2: Convert to fraction form
    277,232.40/382,580.44 = 149,907.69/x
  3. Step 3: Cross multiply
    277,232.40x = 382,580.44 × 149,907.69
  4. Step 4: Simplify right side
    277,232.40x = 57,351,749,999.58
  5. Step 5: Solve for x
    x = 57,351,749,999.58/277,232.40
  6. Step 6: Final answer
    x = 206,872.47

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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.