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Finding the Fourth Proportional to 277,534.50, 382,997.61 and 150,211.14

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Solution

The fourth proportional to 277,534.50, 382,997.61 and 150,211.14 is: 207,291.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,534.50 : 382,997.61 = 150,211.14 : x
  2. Step 2: Convert to fraction form
    277,534.50/382,997.61 = 150,211.14/x
  3. Step 3: Cross multiply
    277,534.50x = 382,997.61 × 150,211.14
  4. Step 4: Simplify right side
    277,534.50x = 57,530,507,615.38
  5. Step 5: Solve for x
    x = 57,530,507,615.38/277,534.50
  6. Step 6: Final answer
    x = 207,291.37

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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.