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Finding the Fourth Proportional to 208,133.91, 312,200.88 and 50,362.37

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Solution

The fourth proportional to 208,133.91, 312,200.88 and 50,362.37 is: 75,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,133.91 : 312,200.88 = 50,362.37 : x
  2. Step 2: Convert to fraction form
    208,133.91/312,200.88 = 50,362.37/x
  3. Step 3: Cross multiply
    208,133.91x = 312,200.88 × 50,362.37
  4. Step 4: Simplify right side
    208,133.91x = 15,723,176,232.89
  5. Step 5: Solve for x
    x = 15,723,176,232.89/208,133.91
  6. Step 6: Final answer
    x = 75,543.56

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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.