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Finding the Fourth Proportional to 252,004.60, 378,093.30 and 111,863.80

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Solution

The fourth proportional to 252,004.60, 378,093.30 and 111,863.80 is: 167,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,004.60 : 378,093.30 = 111,863.80 : x
  2. Step 2: Convert to fraction form
    252,004.60/378,093.30 = 111,863.80/x
  3. Step 3: Cross multiply
    252,004.60x = 378,093.30 × 111,863.80
  4. Step 4: Simplify right side
    252,004.60x = 42,294,953,292.54
  5. Step 5: Solve for x
    x = 42,294,953,292.54/252,004.60
  6. Step 6: Final answer
    x = 167,834.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.