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Finding the Fourth Proportional to 146,552.94, 202,247.46 and 82,889.46

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Solution

The fourth proportional to 146,552.94, 202,247.46 and 82,889.46 is: 114,389.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,552.94 : 202,247.46 = 82,889.46 : x
  2. Step 2: Convert to fraction form
    146,552.94/202,247.46 = 82,889.46/x
  3. Step 3: Cross multiply
    146,552.94x = 202,247.46 × 82,889.46
  4. Step 4: Simplify right side
    146,552.94x = 16,764,182,745.77
  5. Step 5: Solve for x
    x = 16,764,182,745.77/146,552.94
  6. Step 6: Final answer
    x = 114,389.94

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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.