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Finding the Fourth Proportional to 233,509.94, 350,317.31 and 71,418.16

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Solution

The fourth proportional to 233,509.94, 350,317.31 and 71,418.16 is: 107,143.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,509.94 : 350,317.31 = 71,418.16 : x
  2. Step 2: Convert to fraction form
    233,509.94/350,317.31 = 71,418.16/x
  3. Step 3: Cross multiply
    233,509.94x = 350,317.31 × 71,418.16
  4. Step 4: Simplify right side
    233,509.94x = 25,019,015,806.62
  5. Step 5: Solve for x
    x = 25,019,015,806.62/233,509.94
  6. Step 6: Final answer
    x = 107,143.26

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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.