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Finding the Fourth Proportional to 296,162, 408,703.83 and 162,026

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Solution

The fourth proportional to 296,162, 408,703.83 and 162,026 is: 223,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,162 : 408,703.83 = 162,026 : x
  2. Step 2: Convert to fraction form
    296,162/408,703.83 = 162,026/x
  3. Step 3: Cross multiply
    296,162x = 408,703.83 × 162,026
  4. Step 4: Simplify right side
    296,162x = 66,220,646,759.58
  5. Step 5: Solve for x
    x = 66,220,646,759.58/296,162
  6. Step 6: Final answer
    x = 223,596.03

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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.