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Finding the Fourth Proportional to 208,211.38, 312,441.50 and 191,271.70

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Solution

The fourth proportional to 208,211.38, 312,441.50 and 191,271.70 is: 287,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,211.38 : 312,441.50 = 191,271.70 : x
  2. Step 2: Convert to fraction form
    208,211.38/312,441.50 = 191,271.70/x
  3. Step 3: Cross multiply
    208,211.38x = 312,441.50 × 191,271.70
  4. Step 4: Simplify right side
    208,211.38x = 59,761,216,855.55
  5. Step 5: Solve for x
    x = 59,761,216,855.55/208,211.38
  6. Step 6: Final answer
    x = 287,021.86

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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.