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Finding the Fourth Proportional to 209,302.44, 313,951.10 and 51,532.26

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Solution

The fourth proportional to 209,302.44, 313,951.10 and 51,532.26 is: 77,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,302.44 : 313,951.10 = 51,532.26 : x
  2. Step 2: Convert to fraction form
    209,302.44/313,951.10 = 51,532.26/x
  3. Step 3: Cross multiply
    209,302.44x = 313,951.10 × 51,532.26
  4. Step 4: Simplify right side
    209,302.44x = 16,178,609,454.82
  5. Step 5: Solve for x
    x = 16,178,609,454.82/209,302.44
  6. Step 6: Final answer
    x = 77,297.76

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