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Finding the Fourth Proportional to 277,720.96, 383,254.34 and 150,396.16

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Solution

The fourth proportional to 277,720.96, 383,254.34 and 150,396.16 is: 207,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,720.96 : 383,254.34 = 150,396.16 : x
  2. Step 2: Convert to fraction form
    277,720.96/383,254.34 = 150,396.16/x
  3. Step 3: Cross multiply
    277,720.96x = 383,254.34 × 150,396.16
  4. Step 4: Simplify right side
    277,720.96x = 57,639,981,039.33
  5. Step 5: Solve for x
    x = 57,639,981,039.33/277,720.96
  6. Step 6: Final answer
    x = 207,546.38

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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.