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Finding the Fourth Proportional to 233,206.73, 349,821.03 and 75,447.50

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Solution

The fourth proportional to 233,206.73, 349,821.03 and 75,447.50 is: 113,174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,206.73 : 349,821.03 = 75,447.50 : x
  2. Step 2: Convert to fraction form
    233,206.73/349,821.03 = 75,447.50/x
  3. Step 3: Cross multiply
    233,206.73x = 349,821.03 × 75,447.50
  4. Step 4: Simplify right side
    233,206.73x = 26,393,122,160.93
  5. Step 5: Solve for x
    x = 26,393,122,160.93/233,206.73
  6. Step 6: Final answer
    x = 113,174.79

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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.