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Finding the Fourth Proportional to 141,700, 195,546.02 and 78,037.68

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Solution

The fourth proportional to 141,700, 195,546.02 and 78,037.68 is: 107,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,700 : 195,546.02 = 78,037.68 : x
  2. Step 2: Convert to fraction form
    141,700/195,546.02 = 78,037.68/x
  3. Step 3: Cross multiply
    141,700x = 195,546.02 × 78,037.68
  4. Step 4: Simplify right side
    141,700x = 15,259,957,734.03
  5. Step 5: Solve for x
    x = 15,259,957,734.03/141,700
  6. Step 6: Final answer
    x = 107,692.01

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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.