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Finding the Fourth Proportional to 222,329.56, 306,814.46 and 120,354.52

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Solution

The fourth proportional to 222,329.56, 306,814.46 and 120,354.52 is: 166,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,329.56 : 306,814.46 = 120,354.52 : x
  2. Step 2: Convert to fraction form
    222,329.56/306,814.46 = 120,354.52/x
  3. Step 3: Cross multiply
    222,329.56x = 306,814.46 × 120,354.52
  4. Step 4: Simplify right side
    222,329.56x = 36,926,507,062.36
  5. Step 5: Solve for x
    x = 36,926,507,062.36/222,329.56
  6. Step 6: Final answer
    x = 166,089.06

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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.