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Finding the Fourth Proportional to 293,639.51, 405,250.94 and 164,599.90

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Solution

The fourth proportional to 293,639.51, 405,250.94 and 164,599.90 is: 227,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,639.51 : 405,250.94 = 164,599.90 : x
  2. Step 2: Convert to fraction form
    293,639.51/405,250.94 = 164,599.90/x
  3. Step 3: Cross multiply
    293,639.51x = 405,250.94 × 164,599.90
  4. Step 4: Simplify right side
    293,639.51x = 66,704,264,198.91
  5. Step 5: Solve for x
    x = 66,704,264,198.91/293,639.51
  6. Step 6: Final answer
    x = 227,163.79

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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.