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Finding the Fourth Proportional to 277,141.37, 382,454.93 and 149,817.20

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Solution

The fourth proportional to 277,141.37, 382,454.93 and 149,817.20 is: 206,747.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,141.37 : 382,454.93 = 149,817.20 : x
  2. Step 2: Convert to fraction form
    277,141.37/382,454.93 = 149,817.20/x
  3. Step 3: Cross multiply
    277,141.37x = 382,454.93 × 149,817.20
  4. Step 4: Simplify right side
    277,141.37x = 57,298,325,201.06
  5. Step 5: Solve for x
    x = 57,298,325,201.06/277,141.37
  6. Step 6: Final answer
    x = 206,747.65

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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.