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Finding the Fourth Proportional to 205,478.54, 283,559.46 and 114,834.44

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Solution

The fourth proportional to 205,478.54, 283,559.46 and 114,834.44 is: 158,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,478.54 : 283,559.46 = 114,834.44 : x
  2. Step 2: Convert to fraction form
    205,478.54/283,559.46 = 114,834.44/x
  3. Step 3: Cross multiply
    205,478.54x = 283,559.46 × 114,834.44
  4. Step 4: Simplify right side
    205,478.54x = 32,562,391,795.80
  5. Step 5: Solve for x
    x = 32,562,391,795.80/205,478.54
  6. Step 6: Final answer
    x = 158,471.01

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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.