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Finding the Fourth Proportional to 259,438.36, 358,024.26 and 140,206.36

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Solution

The fourth proportional to 259,438.36, 358,024.26 and 140,206.36 is: 193,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,438.36 : 358,024.26 = 140,206.36 : x
  2. Step 2: Convert to fraction form
    259,438.36/358,024.26 = 140,206.36/x
  3. Step 3: Cross multiply
    259,438.36x = 358,024.26 × 140,206.36
  4. Step 4: Simplify right side
    259,438.36x = 50,197,278,286.29
  5. Step 5: Solve for x
    x = 50,197,278,286.29/259,438.36
  6. Step 6: Final answer
    x = 193,484.41

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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.