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Finding the Fourth Proportional to 282,048.80, 422,919.60 and 115,648.80

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Solution

The fourth proportional to 282,048.80, 422,919.60 and 115,648.80 is: 173,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,048.80 : 422,919.60 = 115,648.80 : x
  2. Step 2: Convert to fraction form
    282,048.80/422,919.60 = 115,648.80/x
  3. Step 3: Cross multiply
    282,048.80x = 422,919.60 × 115,648.80
  4. Step 4: Simplify right side
    282,048.80x = 48,910,144,236.48
  5. Step 5: Solve for x
    x = 48,910,144,236.48/282,048.80
  6. Step 6: Final answer
    x = 173,410.22

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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.