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Finding the Fourth Proportional to 204,164.70, 306,309.22 and 104,394.98

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Solution

The fourth proportional to 204,164.70, 306,309.22 and 104,394.98 is: 156,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,164.70 : 306,309.22 = 104,394.98 : x
  2. Step 2: Convert to fraction form
    204,164.70/306,309.22 = 104,394.98/x
  3. Step 3: Cross multiply
    204,164.70x = 306,309.22 × 104,394.98
  4. Step 4: Simplify right side
    204,164.70x = 31,977,144,895.72
  5. Step 5: Solve for x
    x = 31,977,144,895.72/204,164.70
  6. Step 6: Final answer
    x = 156,624.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.