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Finding the Fourth Proportional to 150,003.36, 206,584.56 and 146,737.44

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Solution

The fourth proportional to 150,003.36, 206,584.56 and 146,737.44 is: 202,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,003.36 : 206,584.56 = 146,737.44 : x
  2. Step 2: Convert to fraction form
    150,003.36/206,584.56 = 146,737.44/x
  3. Step 3: Cross multiply
    150,003.36x = 206,584.56 × 146,737.44
  4. Step 4: Simplify right side
    150,003.36x = 30,313,689,477.93
  5. Step 5: Solve for x
    x = 30,313,689,477.93/150,003.36
  6. Step 6: Final answer
    x = 202,086.74

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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.