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Finding the Fourth Proportional to 288,115.16, 397,621.44 and 160,809.89

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Solution

The fourth proportional to 288,115.16, 397,621.44 and 160,809.89 is: 221,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,115.16 : 397,621.44 = 160,809.89 : x
  2. Step 2: Convert to fraction form
    288,115.16/397,621.44 = 160,809.89/x
  3. Step 3: Cross multiply
    288,115.16x = 397,621.44 × 160,809.89
  4. Step 4: Simplify right side
    288,115.16x = 63,941,458,039.93
  5. Step 5: Solve for x
    x = 63,941,458,039.93/288,115.16
  6. Step 6: Final answer
    x = 221,930.21

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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.