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Finding the Fourth Proportional to 209,343, 288,891.92 and 113,849.44

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Solution

The fourth proportional to 209,343, 288,891.92 and 113,849.44 is: 157,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,343 : 288,891.92 = 113,849.44 : x
  2. Step 2: Convert to fraction form
    209,343/288,891.92 = 113,849.44/x
  3. Step 3: Cross multiply
    209,343x = 288,891.92 × 113,849.44
  4. Step 4: Simplify right side
    209,343x = 32,890,183,312.52
  5. Step 5: Solve for x
    x = 32,890,183,312.52/209,343
  6. Step 6: Final answer
    x = 157,111.45

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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.