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Finding the Fourth Proportional to 289,141.50, 399,057.24 and 166,610.04

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Solution

The fourth proportional to 289,141.50, 399,057.24 and 166,610.04 is: 229,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,141.50 : 399,057.24 = 166,610.04 : x
  2. Step 2: Convert to fraction form
    289,141.50/399,057.24 = 166,610.04/x
  3. Step 3: Cross multiply
    289,141.50x = 399,057.24 × 166,610.04
  4. Step 4: Simplify right side
    289,141.50x = 66,486,942,718.69
  5. Step 5: Solve for x
    x = 66,486,942,718.69/289,141.50
  6. Step 6: Final answer
    x = 229,946.04

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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.