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Finding the Fourth Proportional to 208,245.50, 312,368.24 and 50,473.95

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Solution

The fourth proportional to 208,245.50, 312,368.24 and 50,473.95 is: 75,710.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,245.50 : 312,368.24 = 50,473.95 : x
  2. Step 2: Convert to fraction form
    208,245.50/312,368.24 = 50,473.95/x
  3. Step 3: Cross multiply
    208,245.50x = 312,368.24 × 50,473.95
  4. Step 4: Simplify right side
    208,245.50x = 15,766,458,927.35
  5. Step 5: Solve for x
    x = 15,766,458,927.35/208,245.50
  6. Step 6: Final answer
    x = 75,710.92

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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.