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Finding the Fourth Proportional to 301,834.57, 452,750.19 and 77,194.63

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Solution

The fourth proportional to 301,834.57, 452,750.19 and 77,194.63 is: 115,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,834.57 : 452,750.19 = 77,194.63 : x
  2. Step 2: Convert to fraction form
    301,834.57/452,750.19 = 77,194.63/x
  3. Step 3: Cross multiply
    301,834.57x = 452,750.19 × 77,194.63
  4. Step 4: Simplify right side
    301,834.57x = 34,949,883,399.48
  5. Step 5: Solve for x
    x = 34,949,883,399.48/301,834.57
  6. Step 6: Final answer
    x = 115,791.52

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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.