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Finding the Fourth Proportional to 205,563.46, 283,679.69 and 114,924.46

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Solution

The fourth proportional to 205,563.46, 283,679.69 and 114,924.46 is: 158,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,563.46 : 283,679.69 = 114,924.46 : x
  2. Step 2: Convert to fraction form
    205,563.46/283,679.69 = 114,924.46/x
  3. Step 3: Cross multiply
    205,563.46x = 283,679.69 × 114,924.46
  4. Step 4: Simplify right side
    205,563.46x = 32,601,735,186.22
  5. Step 5: Solve for x
    x = 32,601,735,186.22/205,563.46
  6. Step 6: Final answer
    x = 158,596.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.