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Finding the Fourth Proportional to 288,293.68, 397,841.56 and 160,971.44

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Solution

The fourth proportional to 288,293.68, 397,841.56 and 160,971.44 is: 222,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,293.68 : 397,841.56 = 160,971.44 : x
  2. Step 2: Convert to fraction form
    288,293.68/397,841.56 = 160,971.44/x
  3. Step 3: Cross multiply
    288,293.68x = 397,841.56 × 160,971.44
  4. Step 4: Simplify right side
    288,293.68x = 64,041,128,805.05
  5. Step 5: Solve for x
    x = 64,041,128,805.05/288,293.68
  6. Step 6: Final answer
    x = 222,138.51

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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.