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Finding the Fourth Proportional to 288,105.69, 397,623.47 and 160,807.71

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Solution

The fourth proportional to 288,105.69, 397,623.47 and 160,807.71 is: 221,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,105.69 : 397,623.47 = 160,807.71 : x
  2. Step 2: Convert to fraction form
    288,105.69/397,623.47 = 160,807.71/x
  3. Step 3: Cross multiply
    288,105.69x = 397,623.47 × 160,807.71
  4. Step 4: Simplify right side
    288,105.69x = 63,940,916,860.80
  5. Step 5: Solve for x
    x = 63,940,916,860.80/288,105.69
  6. Step 6: Final answer
    x = 221,935.63

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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.