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Finding the Fourth Proportional to 208,989.36, 288,493.62 and 141,098.31

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Solution

The fourth proportional to 208,989.36, 288,493.62 and 141,098.31 is: 194,775.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,989.36 : 288,493.62 = 141,098.31 : x
  2. Step 2: Convert to fraction form
    208,989.36/288,493.62 = 141,098.31/x
  3. Step 3: Cross multiply
    208,989.36x = 288,493.62 × 141,098.31
  4. Step 4: Simplify right side
    208,989.36x = 40,705,962,227.78
  5. Step 5: Solve for x
    x = 40,705,962,227.78/208,989.36
  6. Step 6: Final answer
    x = 194,775.29

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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.