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Finding the Fourth Proportional to 277,786.53, 383,344.07 and 155,278.88

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Solution

The fourth proportional to 277,786.53, 383,344.07 and 155,278.88 is: 214,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,786.53 : 383,344.07 = 155,278.88 : x
  2. Step 2: Convert to fraction form
    277,786.53/383,344.07 = 155,278.88/x
  3. Step 3: Cross multiply
    277,786.53x = 383,344.07 × 155,278.88
  4. Step 4: Simplify right side
    277,786.53x = 59,525,237,141.39
  5. Step 5: Solve for x
    x = 59,525,237,141.39/277,786.53
  6. Step 6: Final answer
    x = 214,284.11

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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.