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Finding the Fourth Proportional to 208,912.24, 288,294.42 and 113,418.10

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Solution

The fourth proportional to 208,912.24, 288,294.42 and 113,418.10 is: 156,514.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,912.24 : 288,294.42 = 113,418.10 : x
  2. Step 2: Convert to fraction form
    208,912.24/288,294.42 = 113,418.10/x
  3. Step 3: Cross multiply
    208,912.24x = 288,294.42 × 113,418.10
  4. Step 4: Simplify right side
    208,912.24x = 32,697,805,357.00
  5. Step 5: Solve for x
    x = 32,697,805,357.00/208,912.24
  6. Step 6: Final answer
    x = 156,514.55

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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.