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Finding the Fourth Proportional to 294,112.60, 405,858.88 and 165,039.04

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Solution

The fourth proportional to 294,112.60, 405,858.88 and 165,039.04 is: 227,744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,112.60 : 405,858.88 = 165,039.04 : x
  2. Step 2: Convert to fraction form
    294,112.60/405,858.88 = 165,039.04/x
  3. Step 3: Cross multiply
    294,112.60x = 405,858.88 × 165,039.04
  4. Step 4: Simplify right side
    294,112.60x = 66,982,559,930.68
  5. Step 5: Solve for x
    x = 66,982,559,930.68/294,112.60
  6. Step 6: Final answer
    x = 227,744.61

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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.