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Finding the Fourth Proportional to 208,871.16, 313,312.82 and 51,099.57

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Solution

The fourth proportional to 208,871.16, 313,312.82 and 51,099.57 is: 76,650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,871.16 : 313,312.82 = 51,099.57 : x
  2. Step 2: Convert to fraction form
    208,871.16/313,312.82 = 51,099.57/x
  3. Step 3: Cross multiply
    208,871.16x = 313,312.82 × 51,099.57
  4. Step 4: Simplify right side
    208,871.16x = 16,010,150,377.49
  5. Step 5: Solve for x
    x = 16,010,150,377.49/208,871.16
  6. Step 6: Final answer
    x = 76,650.84

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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.