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Finding the Fourth Proportional to 141,731, 195,588.78 and 78,068.60

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Solution

The fourth proportional to 141,731, 195,588.78 and 78,068.60 is: 107,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,731 : 195,588.78 = 78,068.60 : x
  2. Step 2: Convert to fraction form
    141,731/195,588.78 = 78,068.60/x
  3. Step 3: Cross multiply
    141,731x = 195,588.78 × 78,068.60
  4. Step 4: Simplify right side
    141,731x = 15,269,342,230.31
  5. Step 5: Solve for x
    x = 15,269,342,230.31/141,731
  6. Step 6: Final answer
    x = 107,734.67

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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.