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Finding the Fourth Proportional to 222,096.81, 306,492.68 and 120,122.39

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Solution

The fourth proportional to 222,096.81, 306,492.68 and 120,122.39 is: 165,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,096.81 : 306,492.68 = 120,122.39 : x
  2. Step 2: Convert to fraction form
    222,096.81/306,492.68 = 120,122.39/x
  3. Step 3: Cross multiply
    222,096.81x = 306,492.68 × 120,122.39
  4. Step 4: Simplify right side
    222,096.81x = 36,816,631,106.03
  5. Step 5: Solve for x
    x = 36,816,631,106.03/222,096.81
  6. Step 6: Final answer
    x = 165,768.39

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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.