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Finding the Fourth Proportional to 208,832.59, 288,189.19 and 113,339.33

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Solution

The fourth proportional to 208,832.59, 288,189.19 and 113,339.33 is: 156,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,832.59 : 288,189.19 = 113,339.33 : x
  2. Step 2: Convert to fraction form
    208,832.59/288,189.19 = 113,339.33/x
  3. Step 3: Cross multiply
    208,832.59x = 288,189.19 × 113,339.33
  4. Step 4: Simplify right side
    208,832.59x = 32,663,168,851.75
  5. Step 5: Solve for x
    x = 32,663,168,851.75/208,832.59
  6. Step 6: Final answer
    x = 156,408.39

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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.