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Finding the Fourth Proportional to 233,740, 350,435.04 and 75,874.24

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Solution

The fourth proportional to 233,740, 350,435.04 and 75,874.24 is: 113,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,740 : 350,435.04 = 75,874.24 : x
  2. Step 2: Convert to fraction form
    233,740/350,435.04 = 75,874.24/x
  3. Step 3: Cross multiply
    233,740x = 350,435.04 × 75,874.24
  4. Step 4: Simplify right side
    233,740x = 26,588,992,329.37
  5. Step 5: Solve for x
    x = 26,588,992,329.37/233,740
  6. Step 6: Final answer
    x = 113,754.57

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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.