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Finding the Fourth Proportional to 289,972.51, 400,161.23 and 160,930.46

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Solution

The fourth proportional to 289,972.51, 400,161.23 and 160,930.46 is: 222,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,972.51 : 400,161.23 = 160,930.46 : x
  2. Step 2: Convert to fraction form
    289,972.51/400,161.23 = 160,930.46/x
  3. Step 3: Cross multiply
    289,972.51x = 400,161.23 × 160,930.46
  4. Step 4: Simplify right side
    289,972.51x = 64,398,128,012.61
  5. Step 5: Solve for x
    x = 64,398,128,012.61/289,972.51
  6. Step 6: Final answer
    x = 222,083.56

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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.