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Finding the Fourth Proportional to 222,298.16, 306,771.46 and 121,696.16

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Solution

The fourth proportional to 222,298.16, 306,771.46 and 121,696.16 is: 167,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,298.16 : 306,771.46 = 121,696.16 : x
  2. Step 2: Convert to fraction form
    222,298.16/306,771.46 = 121,696.16/x
  3. Step 3: Cross multiply
    222,298.16x = 306,771.46 × 121,696.16
  4. Step 4: Simplify right side
    222,298.16x = 37,332,906,841.50
  5. Step 5: Solve for x
    x = 37,332,906,841.50/222,298.16
  6. Step 6: Final answer
    x = 167,940.70

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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.