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Finding the Fourth Proportional to 233,952.81, 350,976.60 and 76,138.89

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Solution

The fourth proportional to 233,952.81, 350,976.60 and 76,138.89 is: 114,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,952.81 : 350,976.60 = 76,138.89 : x
  2. Step 2: Convert to fraction form
    233,952.81/350,976.60 = 76,138.89/x
  3. Step 3: Cross multiply
    233,952.81x = 350,976.60 × 76,138.89
  4. Step 4: Simplify right side
    233,952.81x = 26,722,968,739.97
  5. Step 5: Solve for x
    x = 26,722,968,739.97/233,952.81
  6. Step 6: Final answer
    x = 114,223.76

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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.