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Finding the Fourth Proportional to 141,865.50, 195,775.74 and 78,205.58

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Solution

The fourth proportional to 141,865.50, 195,775.74 and 78,205.58 is: 107,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,865.50 : 195,775.74 = 78,205.58 : x
  2. Step 2: Convert to fraction form
    141,865.50/195,775.74 = 78,205.58/x
  3. Step 3: Cross multiply
    141,865.50x = 195,775.74 × 78,205.58
  4. Step 4: Simplify right side
    141,865.50x = 15,310,755,296.63
  5. Step 5: Solve for x
    x = 15,310,755,296.63/141,865.50
  6. Step 6: Final answer
    x = 107,924.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.