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Finding the Fourth Proportional to 277,229.52, 382,575.60 and 149,905.08

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Solution

The fourth proportional to 277,229.52, 382,575.60 and 149,905.08 is: 206,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,229.52 : 382,575.60 = 149,905.08 : x
  2. Step 2: Convert to fraction form
    277,229.52/382,575.60 = 149,905.08/x
  3. Step 3: Cross multiply
    277,229.52x = 382,575.60 × 149,905.08
  4. Step 4: Simplify right side
    277,229.52x = 57,350,025,924.05
  5. Step 5: Solve for x
    x = 57,350,025,924.05/277,229.52
  6. Step 6: Final answer
    x = 206,868.40

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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.