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Finding the Fourth Proportional to 233,213.73, 349,831.53 and 75,454.53

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Solution

The fourth proportional to 233,213.73, 349,831.53 and 75,454.53 is: 113,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,213.73 : 349,831.53 = 75,454.53 : x
  2. Step 2: Convert to fraction form
    233,213.73/349,831.53 = 75,454.53/x
  3. Step 3: Cross multiply
    233,213.73x = 349,831.53 × 75,454.53
  4. Step 4: Simplify right side
    233,213.73x = 26,396,373,675.33
  5. Step 5: Solve for x
    x = 26,396,373,675.33/233,213.73
  6. Step 6: Final answer
    x = 113,185.33

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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.