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Finding the Fourth Proportional to 233,647.26, 322,540.86 and 136,837.66

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Solution

The fourth proportional to 233,647.26, 322,540.86 and 136,837.66 is: 188,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647.26 : 322,540.86 = 136,837.66 : x
  2. Step 2: Convert to fraction form
    233,647.26/322,540.86 = 136,837.66/x
  3. Step 3: Cross multiply
    233,647.26x = 322,540.86 × 136,837.66
  4. Step 4: Simplify right side
    233,647.26x = 44,135,735,236.77
  5. Step 5: Solve for x
    x = 44,135,735,236.77/233,647.26
  6. Step 6: Final answer
    x = 188,899.00

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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.