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Finding the Fourth Proportional to 223,858.60, 335,399.10 and 188,866.60

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Solution

The fourth proportional to 223,858.60, 335,399.10 and 188,866.60 is: 282,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,858.60 : 335,399.10 = 188,866.60 : x
  2. Step 2: Convert to fraction form
    223,858.60/335,399.10 = 188,866.60/x
  3. Step 3: Cross multiply
    223,858.60x = 335,399.10 × 188,866.60
  4. Step 4: Simplify right side
    223,858.60x = 63,345,687,660.06
  5. Step 5: Solve for x
    x = 63,345,687,660.06/223,858.60
  6. Step 6: Final answer
    x = 282,971.87

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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.