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Finding the Fourth Proportional to 188,508.01, 259,873.36 and 149,929.33

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Solution

The fourth proportional to 188,508.01, 259,873.36 and 149,929.33 is: 206,689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,508.01 : 259,873.36 = 149,929.33 : x
  2. Step 2: Convert to fraction form
    188,508.01/259,873.36 = 149,929.33/x
  3. Step 3: Cross multiply
    188,508.01x = 259,873.36 × 149,929.33
  4. Step 4: Simplify right side
    188,508.01x = 38,962,638,749.65
  5. Step 5: Solve for x
    x = 38,962,638,749.65/188,508.01
  6. Step 6: Final answer
    x = 206,689.57

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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.