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Finding the Fourth Proportional to 277,751.09, 383,296.15 and 150,427.19

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Solution

The fourth proportional to 277,751.09, 383,296.15 and 150,427.19 is: 207,589.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,751.09 : 383,296.15 = 150,427.19 : x
  2. Step 2: Convert to fraction form
    277,751.09/383,296.15 = 150,427.19/x
  3. Step 3: Cross multiply
    277,751.09x = 383,296.15 × 150,427.19
  4. Step 4: Simplify right side
    277,751.09x = 57,658,163,928.59
  5. Step 5: Solve for x
    x = 57,658,163,928.59/277,751.09
  6. Step 6: Final answer
    x = 207,589.33

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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.