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Finding the Fourth Proportional to 208,105.27, 312,158.72 and 50,333.47

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Solution

The fourth proportional to 208,105.27, 312,158.72 and 50,333.47 is: 75,500.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,105.27 : 312,158.72 = 50,333.47 : x
  2. Step 2: Convert to fraction form
    208,105.27/312,158.72 = 50,333.47/x
  3. Step 3: Cross multiply
    208,105.27x = 312,158.72 × 50,333.47
  4. Step 4: Simplify right side
    208,105.27x = 15,712,031,568.36
  5. Step 5: Solve for x
    x = 15,712,031,568.36/208,105.27
  6. Step 6: Final answer
    x = 75,500.40

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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.