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Finding the Fourth Proportional to 301,197, 415,651.86 and 167,061

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Solution

The fourth proportional to 301,197, 415,651.86 and 167,061 is: 230,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,197 : 415,651.86 = 167,061 : x
  2. Step 2: Convert to fraction form
    301,197/415,651.86 = 167,061/x
  3. Step 3: Cross multiply
    301,197x = 415,651.86 × 167,061
  4. Step 4: Simplify right side
    301,197x = 69,439,215,383.46
  5. Step 5: Solve for x
    x = 69,439,215,383.46/301,197
  6. Step 6: Final answer
    x = 230,544.18

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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.