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Finding the Fourth Proportional to 222,484.12, 307,025.64 and 120,507.04

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Solution

The fourth proportional to 222,484.12, 307,025.64 and 120,507.04 is: 166,298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,484.12 : 307,025.64 = 120,507.04 : x
  2. Step 2: Convert to fraction form
    222,484.12/307,025.64 = 120,507.04/x
  3. Step 3: Cross multiply
    222,484.12x = 307,025.64 × 120,507.04
  4. Step 4: Simplify right side
    222,484.12x = 36,998,751,464.29
  5. Step 5: Solve for x
    x = 36,998,751,464.29/222,484.12
  6. Step 6: Final answer
    x = 166,298.39

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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.