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Finding the Fourth Proportional to 277,433.36, 382,858 and 150,108.96

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Solution

The fourth proportional to 277,433.36, 382,858 and 150,108.96 is: 207,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,433.36 : 382,858 = 150,108.96 : x
  2. Step 2: Convert to fraction form
    277,433.36/382,858 = 150,108.96/x
  3. Step 3: Cross multiply
    277,433.36x = 382,858 × 150,108.96
  4. Step 4: Simplify right side
    277,433.36x = 57,470,416,207.68
  5. Step 5: Solve for x
    x = 57,470,416,207.68/277,433.36
  6. Step 6: Final answer
    x = 207,150.34

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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.