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Finding the Fourth Proportional to 301,865.25, 452,813.38 and 77,227.63

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Solution

The fourth proportional to 301,865.25, 452,813.38 and 77,227.63 is: 115,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,865.25 : 452,813.38 = 77,227.63 : x
  2. Step 2: Convert to fraction form
    301,865.25/452,813.38 = 77,227.63/x
  3. Step 3: Cross multiply
    301,865.25x = 452,813.38 × 77,227.63
  4. Step 4: Simplify right side
    301,865.25x = 34,969,704,169.69
  5. Step 5: Solve for x
    x = 34,969,704,169.69/301,865.25
  6. Step 6: Final answer
    x = 115,845.41

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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.