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Finding the Fourth Proportional to 221,946.32, 306,286.44 and 121,350.80

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Solution

The fourth proportional to 221,946.32, 306,286.44 and 121,350.80 is: 167,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,946.32 : 306,286.44 = 121,350.80 : x
  2. Step 2: Convert to fraction form
    221,946.32/306,286.44 = 121,350.80/x
  3. Step 3: Cross multiply
    221,946.32x = 306,286.44 × 121,350.80
  4. Step 4: Simplify right side
    221,946.32x = 37,168,104,523.15
  5. Step 5: Solve for x
    x = 37,168,104,523.15/221,946.32
  6. Step 6: Final answer
    x = 167,464.39

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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.