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Finding the Fourth Proportional to 208,565.08, 312,847.52 and 75,442.39

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Solution

The fourth proportional to 208,565.08, 312,847.52 and 75,442.39 is: 113,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,565.08 : 312,847.52 = 75,442.39 : x
  2. Step 2: Convert to fraction form
    208,565.08/312,847.52 = 75,442.39/x
  3. Step 3: Cross multiply
    208,565.08x = 312,847.52 × 75,442.39
  4. Step 4: Simplify right side
    208,565.08x = 23,601,963,455.04
  5. Step 5: Solve for x
    x = 23,601,963,455.04/208,565.08
  6. Step 6: Final answer
    x = 113,163.54

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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.