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Finding the Fourth Proportional to 289,954, 400,137.60 and 169,178.68

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Solution

The fourth proportional to 289,954, 400,137.60 and 169,178.68 is: 233,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,954 : 400,137.60 = 169,178.68 : x
  2. Step 2: Convert to fraction form
    289,954/400,137.60 = 169,178.68/x
  3. Step 3: Cross multiply
    289,954x = 400,137.60 × 169,178.68
  4. Step 4: Simplify right side
    289,954x = 67,694,750,986.37
  5. Step 5: Solve for x
    x = 67,694,750,986.37/289,954
  6. Step 6: Final answer
    x = 233,467.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.