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Finding the Fourth Proportional to 301,879.56, 452,834.82 and 77,241.90

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Solution

The fourth proportional to 301,879.56, 452,834.82 and 77,241.90 is: 115,866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,879.56 : 452,834.82 = 77,241.90 : x
  2. Step 2: Convert to fraction form
    301,879.56/452,834.82 = 77,241.90/x
  3. Step 3: Cross multiply
    301,879.56x = 452,834.82 × 77,241.90
  4. Step 4: Simplify right side
    301,879.56x = 34,977,821,882.96
  5. Step 5: Solve for x
    x = 34,977,821,882.96/301,879.56
  6. Step 6: Final answer
    x = 115,866.81

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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.