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Finding the Fourth Proportional to 146,451.92, 202,106.76 and 82,785.92

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Solution

The fourth proportional to 146,451.92, 202,106.76 and 82,785.92 is: 114,246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,451.92 : 202,106.76 = 82,785.92 : x
  2. Step 2: Convert to fraction form
    146,451.92/202,106.76 = 82,785.92/x
  3. Step 3: Cross multiply
    146,451.92x = 202,106.76 × 82,785.92
  4. Step 4: Simplify right side
    146,451.92x = 16,731,594,064.82
  5. Step 5: Solve for x
    x = 16,731,594,064.82/146,451.92
  6. Step 6: Final answer
    x = 114,246.33

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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.