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Finding the Fourth Proportional to 209,144.98, 288,621.66 and 113,652.06

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Solution

The fourth proportional to 209,144.98, 288,621.66 and 113,652.06 is: 156,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,144.98 : 288,621.66 = 113,652.06 : x
  2. Step 2: Convert to fraction form
    209,144.98/288,621.66 = 113,652.06/x
  3. Step 3: Cross multiply
    209,144.98x = 288,621.66 × 113,652.06
  4. Step 4: Simplify right side
    209,144.98x = 32,802,446,219.62
  5. Step 5: Solve for x
    x = 32,802,446,219.62/209,144.98
  6. Step 6: Final answer
    x = 156,840.71

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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.