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Finding the Fourth Proportional to 227,114.97, 313,548.57 and 150,737.64

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Solution

The fourth proportional to 227,114.97, 313,548.57 and 150,737.64 is: 208,104.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,114.97 : 313,548.57 = 150,737.64 : x
  2. Step 2: Convert to fraction form
    227,114.97/313,548.57 = 150,737.64/x
  3. Step 3: Cross multiply
    227,114.97x = 313,548.57 × 150,737.64
  4. Step 4: Simplify right side
    227,114.97x = 47,263,571,467.17
  5. Step 5: Solve for x
    x = 47,263,571,467.17/227,114.97
  6. Step 6: Final answer
    x = 208,104.17

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1.5x scale

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.