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Finding the Fourth Proportional to 277,489.08, 382,935.24 and 150,164.69

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Solution

The fourth proportional to 277,489.08, 382,935.24 and 150,164.69 is: 207,227.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,489.08 : 382,935.24 = 150,164.69 : x
  2. Step 2: Convert to fraction form
    277,489.08/382,935.24 = 150,164.69/x
  3. Step 3: Cross multiply
    277,489.08x = 382,935.24 × 150,164.69
  4. Step 4: Simplify right side
    277,489.08x = 57,503,349,690.00
  5. Step 5: Solve for x
    x = 57,503,349,690.00/277,489.08
  6. Step 6: Final answer
    x = 207,227.43

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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.