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Finding the Fourth Proportional to 188,202.64, 259,652.64 and 111,663.31

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Solution

The fourth proportional to 188,202.64, 259,652.64 and 111,663.31 is: 154,055.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,202.64 : 259,652.64 = 111,663.31 : x
  2. Step 2: Convert to fraction form
    188,202.64/259,652.64 = 111,663.31/x
  3. Step 3: Cross multiply
    188,202.64x = 259,652.64 × 111,663.31
  4. Step 4: Simplify right side
    188,202.64x = 28,993,673,232.64
  5. Step 5: Solve for x
    x = 28,993,673,232.64/188,202.64
  6. Step 6: Final answer
    x = 154,055.61

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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.