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Finding the Fourth Proportional to 233,458.26, 350,296.74 and 115,065.06

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Solution

The fourth proportional to 233,458.26, 350,296.74 and 115,065.06 is: 172,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,458.26 : 350,296.74 = 115,065.06 : x
  2. Step 2: Convert to fraction form
    233,458.26/350,296.74 = 115,065.06/x
  3. Step 3: Cross multiply
    233,458.26x = 350,296.74 × 115,065.06
  4. Step 4: Simplify right side
    233,458.26x = 40,306,915,405.90
  5. Step 5: Solve for x
    x = 40,306,915,405.90/233,458.26
  6. Step 6: Final answer
    x = 172,651.49

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