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Finding the Fourth Proportional to 208,830.10, 313,174.94 and 75,682.48

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Solution

The fourth proportional to 208,830.10, 313,174.94 and 75,682.48 is: 113,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,830.10 : 313,174.94 = 75,682.48 : x
  2. Step 2: Convert to fraction form
    208,830.10/313,174.94 = 75,682.48/x
  3. Step 3: Cross multiply
    208,830.10x = 313,174.94 × 75,682.48
  4. Step 4: Simplify right side
    208,830.10x = 23,701,855,539.32
  5. Step 5: Solve for x
    x = 23,701,855,539.32/208,830.10
  6. Step 6: Final answer
    x = 113,498.27

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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.