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Finding the Fourth Proportional to 288,180.64, 397,688.29 and 160,855.12

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Solution

The fourth proportional to 288,180.64, 397,688.29 and 160,855.12 is: 221,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,180.64 : 397,688.29 = 160,855.12 : x
  2. Step 2: Convert to fraction form
    288,180.64/397,688.29 = 160,855.12/x
  3. Step 3: Cross multiply
    288,180.64x = 397,688.29 × 160,855.12
  4. Step 4: Simplify right side
    288,180.64x = 63,970,197,610.54
  5. Step 5: Solve for x
    x = 63,970,197,610.54/288,180.64
  6. Step 6: Final answer
    x = 221,979.51

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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.