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Finding the Fourth Proportional to 208,911.41, 288,012.11 and 143,498.24

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Solution

The fourth proportional to 208,911.41, 288,012.11 and 143,498.24 is: 197,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,911.41 : 288,012.11 = 143,498.24 : x
  2. Step 2: Convert to fraction form
    208,911.41/288,012.11 = 143,498.24/x
  3. Step 3: Cross multiply
    208,911.41x = 288,012.11 × 143,498.24
  4. Step 4: Simplify right side
    208,911.41x = 41,329,230,883.69
  5. Step 5: Solve for x
    x = 41,329,230,883.69/208,911.41
  6. Step 6: Final answer
    x = 197,831.37

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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.