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Finding the Fourth Proportional to 146,362.46, 201,975.04 and 82,698.88

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Solution

The fourth proportional to 146,362.46, 201,975.04 and 82,698.88 is: 114,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,362.46 : 201,975.04 = 82,698.88 : x
  2. Step 2: Convert to fraction form
    146,362.46/201,975.04 = 82,698.88/x
  3. Step 3: Cross multiply
    146,362.46x = 201,975.04 × 82,698.88
  4. Step 4: Simplify right side
    146,362.46x = 16,703,109,595.96
  5. Step 5: Solve for x
    x = 16,703,109,595.96/146,362.46
  6. Step 6: Final answer
    x = 114,121.54

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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.