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Finding the Fourth Proportional to 223,170.64, 307,974.52 and 121,195.38

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Solution

The fourth proportional to 223,170.64, 307,974.52 and 121,195.38 is: 167,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,170.64 : 307,974.52 = 121,195.38 : x
  2. Step 2: Convert to fraction form
    223,170.64/307,974.52 = 121,195.38/x
  3. Step 3: Cross multiply
    223,170.64x = 307,974.52 × 121,195.38
  4. Step 4: Simplify right side
    223,170.64x = 37,325,088,981.72
  5. Step 5: Solve for x
    x = 37,325,088,981.72/223,170.64
  6. Step 6: Final answer
    x = 167,249.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.