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Finding the Fourth Proportional to 233,894.38, 350,863.44 and 76,080.46

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Solution

The fourth proportional to 233,894.38, 350,863.44 and 76,080.46 is: 114,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894.38 : 350,863.44 = 76,080.46 : x
  2. Step 2: Convert to fraction form
    233,894.38/350,863.44 = 76,080.46/x
  3. Step 3: Cross multiply
    233,894.38x = 350,863.44 × 76,080.46
  4. Step 4: Simplify right side
    233,894.38x = 26,693,851,912.38
  5. Step 5: Solve for x
    x = 26,693,851,912.38/233,894.38
  6. Step 6: Final answer
    x = 114,127.80

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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.