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Finding the Fourth Proportional to 222,436.68, 306,962.16 and 120,461.82

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Solution

The fourth proportional to 222,436.68, 306,962.16 and 120,461.82 is: 166,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,436.68 : 306,962.16 = 120,461.82 : x
  2. Step 2: Convert to fraction form
    222,436.68/306,962.16 = 120,461.82/x
  3. Step 3: Cross multiply
    222,436.68x = 306,962.16 × 120,461.82
  4. Step 4: Simplify right side
    222,436.68x = 36,977,220,464.73
  5. Step 5: Solve for x
    x = 36,977,220,464.73/222,436.68
  6. Step 6: Final answer
    x = 166,237.06

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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.