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Finding the Fourth Proportional to 225,858.60, 311,819.94 and 141,090.48

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Solution

The fourth proportional to 225,858.60, 311,819.94 and 141,090.48 is: 194,789.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,858.60 : 311,819.94 = 141,090.48 : x
  2. Step 2: Convert to fraction form
    225,858.60/311,819.94 = 141,090.48/x
  3. Step 3: Cross multiply
    225,858.60x = 311,819.94 × 141,090.48
  4. Step 4: Simplify right side
    225,858.60x = 43,994,825,008.17
  5. Step 5: Solve for x
    x = 43,994,825,008.17/225,858.60
  6. Step 6: Final answer
    x = 194,789.24

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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.