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Finding the Fourth Proportional to 233,116.26, 321,699.94 and 131,141.78

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Solution

The fourth proportional to 233,116.26, 321,699.94 and 131,141.78 is: 180,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,116.26 : 321,699.94 = 131,141.78 : x
  2. Step 2: Convert to fraction form
    233,116.26/321,699.94 = 131,141.78/x
  3. Step 3: Cross multiply
    233,116.26x = 321,699.94 × 131,141.78
  4. Step 4: Simplify right side
    233,116.26x = 42,188,303,233.89
  5. Step 5: Solve for x
    x = 42,188,303,233.89/233,116.26
  6. Step 6: Final answer
    x = 180,975.38

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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.