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Finding the Fourth Proportional to 236,299.80, 354,482.10 and 78,511.80

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Solution

The fourth proportional to 236,299.80, 354,482.10 and 78,511.80 is: 117,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,299.80 : 354,482.10 = 78,511.80 : x
  2. Step 2: Convert to fraction form
    236,299.80/354,482.10 = 78,511.80/x
  3. Step 3: Cross multiply
    236,299.80x = 354,482.10 × 78,511.80
  4. Step 4: Simplify right side
    236,299.80x = 27,831,027,738.78
  5. Step 5: Solve for x
    x = 27,831,027,738.78/236,299.80
  6. Step 6: Final answer
    x = 117,778.47

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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.