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Finding the Fourth Proportional to 322,168.25, 444,566.16 and 186,211.01

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Solution

The fourth proportional to 322,168.25, 444,566.16 and 186,211.01 is: 256,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,168.25 : 444,566.16 = 186,211.01 : x
  2. Step 2: Convert to fraction form
    322,168.25/444,566.16 = 186,211.01/x
  3. Step 3: Cross multiply
    322,168.25x = 444,566.16 × 186,211.01
  4. Step 4: Simplify right side
    322,168.25x = 82,783,111,442.59
  5. Step 5: Solve for x
    x = 82,783,111,442.59/322,168.25
  6. Step 6: Final answer
    x = 256,956.15

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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.