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Finding the Fourth Proportional to 233,893.98, 350,846.37 and 76,134.74

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Solution

The fourth proportional to 233,893.98, 350,846.37 and 76,134.74 is: 114,203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,893.98 : 350,846.37 = 76,134.74 : x
  2. Step 2: Convert to fraction form
    233,893.98/350,846.37 = 76,134.74/x
  3. Step 3: Cross multiply
    233,893.98x = 350,846.37 × 76,134.74
  4. Step 4: Simplify right side
    233,893.98x = 26,711,595,405.66
  5. Step 5: Solve for x
    x = 26,711,595,405.66/233,893.98
  6. Step 6: Final answer
    x = 114,203.86

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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.