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Finding the Fourth Proportional to 223,103.36, 307,768.56 and 142,446.08

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Solution

The fourth proportional to 223,103.36, 307,768.56 and 142,446.08 is: 196,502.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,103.36 : 307,768.56 = 142,446.08 : x
  2. Step 2: Convert to fraction form
    223,103.36/307,768.56 = 142,446.08/x
  3. Step 3: Cross multiply
    223,103.36x = 307,768.56 × 142,446.08
  4. Step 4: Simplify right side
    223,103.36x = 43,840,424,919.24
  5. Step 5: Solve for x
    x = 43,840,424,919.24/223,103.36
  6. Step 6: Final answer
    x = 196,502.76

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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.