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Finding the Fourth Proportional to 277,645.41, 383,151.86 and 150,321

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Solution

The fourth proportional to 277,645.41, 383,151.86 and 150,321 is: 207,443.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,645.41 : 383,151.86 = 150,321 : x
  2. Step 2: Convert to fraction form
    277,645.41/383,151.86 = 150,321/x
  3. Step 3: Cross multiply
    277,645.41x = 383,151.86 × 150,321
  4. Step 4: Simplify right side
    277,645.41x = 57,595,770,747.06
  5. Step 5: Solve for x
    x = 57,595,770,747.06/277,645.41
  6. Step 6: Final answer
    x = 207,443.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.