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Finding the Fourth Proportional to 146,451.66, 202,104.36 and 82,785.66

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Solution

The fourth proportional to 146,451.66, 202,104.36 and 82,785.66 is: 114,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,451.66 : 202,104.36 = 82,785.66 : x
  2. Step 2: Convert to fraction form
    146,451.66/202,104.36 = 82,785.66/x
  3. Step 3: Cross multiply
    146,451.66x = 202,104.36 × 82,785.66
  4. Step 4: Simplify right side
    146,451.66x = 16,731,342,831.48
  5. Step 5: Solve for x
    x = 16,731,342,831.48/146,451.66
  6. Step 6: Final answer
    x = 114,244.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.