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Finding the Fourth Proportional to 222,368.73, 306,871.26 and 120,396.32

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Solution

The fourth proportional to 222,368.73, 306,871.26 and 120,396.32 is: 166,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,368.73 : 306,871.26 = 120,396.32 : x
  2. Step 2: Convert to fraction form
    222,368.73/306,871.26 = 120,396.32/x
  3. Step 3: Cross multiply
    222,368.73x = 306,871.26 × 120,396.32
  4. Step 4: Simplify right side
    222,368.73x = 36,946,168,883.41
  5. Step 5: Solve for x
    x = 36,946,168,883.41/222,368.73
  6. Step 6: Final answer
    x = 166,148.22

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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.