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Finding the Fourth Proportional to 265,608.86, 366,498.32 and 149,299.38

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Solution

The fourth proportional to 265,608.86, 366,498.32 and 149,299.38 is: 206,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,608.86 : 366,498.32 = 149,299.38 : x
  2. Step 2: Convert to fraction form
    265,608.86/366,498.32 = 149,299.38/x
  3. Step 3: Cross multiply
    265,608.86x = 366,498.32 × 149,299.38
  4. Step 4: Simplify right side
    265,608.86x = 54,717,971,200.54
  5. Step 5: Solve for x
    x = 54,717,971,200.54/265,608.86
  6. Step 6: Final answer
    x = 206,009.59

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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.