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Finding the Fourth Proportional to 233,991.13, 350,986.71 and 76,219.58

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Solution

The fourth proportional to 233,991.13, 350,986.71 and 76,219.58 is: 114,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,991.13 : 350,986.71 = 76,219.58 : x
  2. Step 2: Convert to fraction form
    233,991.13/350,986.71 = 76,219.58/x
  3. Step 3: Cross multiply
    233,991.13x = 350,986.71 × 76,219.58
  4. Step 4: Simplify right side
    233,991.13x = 26,752,059,621.78
  5. Step 5: Solve for x
    x = 26,752,059,621.78/233,991.13
  6. Step 6: Final answer
    x = 114,329.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.