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Finding the Fourth Proportional to 277,253.82, 382,611.18 and 149,930.31

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Solution

The fourth proportional to 277,253.82, 382,611.18 and 149,930.31 is: 206,904.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,253.82 : 382,611.18 = 149,930.31 : x
  2. Step 2: Convert to fraction form
    277,253.82/382,611.18 = 149,930.31/x
  3. Step 3: Cross multiply
    277,253.82x = 382,611.18 × 149,930.31
  4. Step 4: Simplify right side
    277,253.82x = 57,365,012,826.87
  5. Step 5: Solve for x
    x = 57,365,012,826.87/277,253.82
  6. Step 6: Final answer
    x = 206,904.32

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1.5x scale

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.