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Finding the Fourth Proportional to 289,227.24, 399,137.76 and 166,652.01

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Solution

The fourth proportional to 289,227.24, 399,137.76 and 166,652.01 is: 229,982.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,227.24 : 399,137.76 = 166,652.01 : x
  2. Step 2: Convert to fraction form
    289,227.24/399,137.76 = 166,652.01/x
  3. Step 3: Cross multiply
    289,227.24x = 399,137.76 × 166,652.01
  4. Step 4: Simplify right side
    289,227.24x = 66,517,109,970.90
  5. Step 5: Solve for x
    x = 66,517,109,970.90/289,227.24
  6. Step 6: Final answer
    x = 229,982.18

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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.