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Finding the Fourth Proportional to 233,894.89, 350,864.19 and 76,080.97

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Solution

The fourth proportional to 233,894.89, 350,864.19 and 76,080.97 is: 114,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894.89 : 350,864.19 = 76,080.97 : x
  2. Step 2: Convert to fraction form
    233,894.89/350,864.19 = 76,080.97/x
  3. Step 3: Cross multiply
    233,894.89x = 350,864.19 × 76,080.97
  4. Step 4: Simplify right side
    233,894.89x = 26,694,087,913.46
  5. Step 5: Solve for x
    x = 26,694,087,913.46/233,894.89
  6. Step 6: Final answer
    x = 114,128.56

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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.