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Finding the Fourth Proportional to 233,764.56, 350,572.32 and 75,954.96

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Solution

The fourth proportional to 233,764.56, 350,572.32 and 75,954.96 is: 113,908.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,764.56 : 350,572.32 = 75,954.96 : x
  2. Step 2: Convert to fraction form
    233,764.56/350,572.32 = 75,954.96/x
  3. Step 3: Cross multiply
    233,764.56x = 350,572.32 × 75,954.96
  4. Step 4: Simplify right side
    233,764.56x = 26,627,706,542.71
  5. Step 5: Solve for x
    x = 26,627,706,542.71/233,764.56
  6. Step 6: Final answer
    x = 113,908.23

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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.