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Finding the Fourth Proportional to 208,239.47, 312,359.21 and 50,467.93

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Solution

The fourth proportional to 208,239.47, 312,359.21 and 50,467.93 is: 75,701.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,239.47 : 312,359.21 = 50,467.93 : x
  2. Step 2: Convert to fraction form
    208,239.47/312,359.21 = 50,467.93/x
  3. Step 3: Cross multiply
    208,239.47x = 312,359.21 × 50,467.93
  4. Step 4: Simplify right side
    208,239.47x = 15,764,121,711.90
  5. Step 5: Solve for x
    x = 15,764,121,711.90/208,239.47
  6. Step 6: Final answer
    x = 75,701.89

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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.