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Finding the Fourth Proportional to 188,094.57, 259,570.49 and 107,523.90

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Solution

The fourth proportional to 188,094.57, 259,570.49 and 107,523.90 is: 148,382.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,094.57 : 259,570.49 = 107,523.90 : x
  2. Step 2: Convert to fraction form
    188,094.57/259,570.49 = 107,523.90/x
  3. Step 3: Cross multiply
    188,094.57x = 259,570.49 × 107,523.90
  4. Step 4: Simplify right side
    188,094.57x = 27,910,030,111.86
  5. Step 5: Solve for x
    x = 27,910,030,111.86/188,094.57
  6. Step 6: Final answer
    x = 148,382.97

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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.