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Finding the Fourth Proportional to 222,621.60, 333,964.80 and 72,825.60

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Solution

The fourth proportional to 222,621.60, 333,964.80 and 72,825.60 is: 109,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,621.60 : 333,964.80 = 72,825.60 : x
  2. Step 2: Convert to fraction form
    222,621.60/333,964.80 = 72,825.60/x
  3. Step 3: Cross multiply
    222,621.60x = 333,964.80 × 72,825.60
  4. Step 4: Simplify right side
    222,621.60x = 24,321,186,938.88
  5. Step 5: Solve for x
    x = 24,321,186,938.88/222,621.60
  6. Step 6: Final answer
    x = 109,249.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.