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Finding the Fourth Proportional to 227,111.97, 313,544.43 and 150,734.64

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Solution

The fourth proportional to 227,111.97, 313,544.43 and 150,734.64 is: 208,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,111.97 : 313,544.43 = 150,734.64 : x
  2. Step 2: Convert to fraction form
    227,111.97/313,544.43 = 150,734.64/x
  3. Step 3: Cross multiply
    227,111.97x = 313,544.43 × 150,734.64
  4. Step 4: Simplify right side
    227,111.97x = 47,262,006,780.06
  5. Step 5: Solve for x
    x = 47,262,006,780.06/227,111.97
  6. Step 6: Final answer
    x = 208,100.03

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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.