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Finding the Fourth Proportional to 208,911.89, 288,298.41 and 113,418.59

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Solution

The fourth proportional to 208,911.89, 288,298.41 and 113,418.59 is: 156,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,911.89 : 288,298.41 = 113,418.59 : x
  2. Step 2: Convert to fraction form
    208,911.89/288,298.41 = 113,418.59/x
  3. Step 3: Cross multiply
    208,911.89x = 288,298.41 × 113,418.59
  4. Step 4: Simplify right side
    208,911.89x = 32,698,399,187.07
  5. Step 5: Solve for x
    x = 32,698,399,187.07/208,911.89
  6. Step 6: Final answer
    x = 156,517.65

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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.