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Finding the Fourth Proportional to 186,188.63, 256,932.74 and 105,614.42

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Solution

The fourth proportional to 186,188.63, 256,932.74 and 105,614.42 is: 145,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,188.63 : 256,932.74 = 105,614.42 : x
  2. Step 2: Convert to fraction form
    186,188.63/256,932.74 = 105,614.42/x
  3. Step 3: Cross multiply
    186,188.63x = 256,932.74 × 105,614.42
  4. Step 4: Simplify right side
    186,188.63x = 27,135,802,956.44
  5. Step 5: Solve for x
    x = 27,135,802,956.44/186,188.63
  6. Step 6: Final answer
    x = 145,743.61

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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.