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Finding the Fourth Proportional to 146,802, 202,604.04 and 87,186

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Solution

The fourth proportional to 146,802, 202,604.04 and 87,186 is: 120,326.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,802 : 202,604.04 = 87,186 : x
  2. Step 2: Convert to fraction form
    146,802/202,604.04 = 87,186/x
  3. Step 3: Cross multiply
    146,802x = 202,604.04 × 87,186
  4. Step 4: Simplify right side
    146,802x = 17,664,235,831.44
  5. Step 5: Solve for x
    x = 17,664,235,831.44/146,802
  6. Step 6: Final answer
    x = 120,326.94

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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.