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Finding the Fourth Proportional to 317,095.22, 475,651.49 and 92,450.23

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Solution

The fourth proportional to 317,095.22, 475,651.49 and 92,450.23 is: 138,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,095.22 : 475,651.49 = 92,450.23 : x
  2. Step 2: Convert to fraction form
    317,095.22/475,651.49 = 92,450.23/x
  3. Step 3: Cross multiply
    317,095.22x = 475,651.49 × 92,450.23
  4. Step 4: Simplify right side
    317,095.22x = 43,974,089,650.34
  5. Step 5: Solve for x
    x = 43,974,089,650.34/317,095.22
  6. Step 6: Final answer
    x = 138,677.87

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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.