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Finding the Fourth Proportional to 188,342.54, 259,911.96 and 102,300.83

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Solution

The fourth proportional to 188,342.54, 259,911.96 and 102,300.83 is: 141,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,342.54 : 259,911.96 = 102,300.83 : x
  2. Step 2: Convert to fraction form
    188,342.54/259,911.96 = 102,300.83/x
  3. Step 3: Cross multiply
    188,342.54x = 259,911.96 × 102,300.83
  4. Step 4: Simplify right side
    188,342.54x = 26,589,207,423.86
  5. Step 5: Solve for x
    x = 26,589,207,423.86/188,342.54
  6. Step 6: Final answer
    x = 141,174.73

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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.