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Finding the Fourth Proportional to 233,489.82, 350,283.94 and 75,705.97

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Solution

The fourth proportional to 233,489.82, 350,283.94 and 75,705.97 is: 113,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,489.82 : 350,283.94 = 75,705.97 : x
  2. Step 2: Convert to fraction form
    233,489.82/350,283.94 = 75,705.97/x
  3. Step 3: Cross multiply
    233,489.82x = 350,283.94 × 75,705.97
  4. Step 4: Simplify right side
    233,489.82x = 26,518,585,074.59
  5. Step 5: Solve for x
    x = 26,518,585,074.59/233,489.82
  6. Step 6: Final answer
    x = 113,574.91

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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.