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Finding the Fourth Proportional to 223,199.08, 308,016.97 and 121,226.54

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Solution

The fourth proportional to 223,199.08, 308,016.97 and 121,226.54 is: 167,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,199.08 : 308,016.97 = 121,226.54 : x
  2. Step 2: Convert to fraction form
    223,199.08/308,016.97 = 121,226.54/x
  3. Step 3: Cross multiply
    223,199.08x = 308,016.97 × 121,226.54
  4. Step 4: Simplify right side
    223,199.08x = 37,339,831,534.38
  5. Step 5: Solve for x
    x = 37,339,831,534.38/223,199.08
  6. Step 6: Final answer
    x = 167,293.84

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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.