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Finding the Fourth Proportional to 163,843.14, 245,449.83 and 100,478.49

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Solution

The fourth proportional to 163,843.14, 245,449.83 and 100,478.49 is: 150,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,843.14 : 245,449.83 = 100,478.49 : x
  2. Step 2: Convert to fraction form
    163,843.14/245,449.83 = 100,478.49/x
  3. Step 3: Cross multiply
    163,843.14x = 245,449.83 × 100,478.49
  4. Step 4: Simplify right side
    163,843.14x = 24,662,428,289.16
  5. Step 5: Solve for x
    x = 24,662,428,289.16/163,843.14
  6. Step 6: Final answer
    x = 150,524.63

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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.