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Finding the Fourth Proportional to 208,308, 312,462.14 and 50,536.48

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Solution

The fourth proportional to 208,308, 312,462.14 and 50,536.48 is: 75,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,308 : 312,462.14 = 50,536.48 : x
  2. Step 2: Convert to fraction form
    208,308/312,462.14 = 50,536.48/x
  3. Step 3: Cross multiply
    208,308x = 312,462.14 × 50,536.48
  4. Step 4: Simplify right side
    208,308x = 15,790,736,688.87
  5. Step 5: Solve for x
    x = 15,790,736,688.87/208,308
  6. Step 6: Final answer
    x = 75,804.75

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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.