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Finding the Fourth Proportional to 277,431.11, 382,854.90 and 150,106.71

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Solution

The fourth proportional to 277,431.11, 382,854.90 and 150,106.71 is: 207,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,431.11 : 382,854.90 = 150,106.71 : x
  2. Step 2: Convert to fraction form
    277,431.11/382,854.90 = 150,106.71/x
  3. Step 3: Cross multiply
    277,431.11x = 382,854.90 × 150,106.71
  4. Step 4: Simplify right side
    277,431.11x = 57,469,089,446.38
  5. Step 5: Solve for x
    x = 57,469,089,446.38/277,431.11
  6. Step 6: Final answer
    x = 207,147.24

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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.