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Finding the Fourth Proportional to 277,687.66, 383,211.69 and 150,365.98

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Solution

The fourth proportional to 277,687.66, 383,211.69 and 150,365.98 is: 207,506.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,687.66 : 383,211.69 = 150,365.98 : x
  2. Step 2: Convert to fraction form
    277,687.66/383,211.69 = 150,365.98/x
  3. Step 3: Cross multiply
    277,687.66x = 383,211.69 × 150,365.98
  4. Step 4: Simplify right side
    277,687.66x = 57,622,001,314.31
  5. Step 5: Solve for x
    x = 57,622,001,314.31/277,687.66
  6. Step 6: Final answer
    x = 207,506.52

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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.