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Finding the Fourth Proportional to 129,914.96, 194,877.86 and 41,166.50

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Solution

The fourth proportional to 129,914.96, 194,877.86 and 41,166.50 is: 61,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,914.96 : 194,877.86 = 41,166.50 : x
  2. Step 2: Convert to fraction form
    129,914.96/194,877.86 = 41,166.50/x
  3. Step 3: Cross multiply
    129,914.96x = 194,877.86 × 41,166.50
  4. Step 4: Simplify right side
    129,914.96x = 8,022,438,243.47
  5. Step 5: Solve for x
    x = 8,022,438,243.47/129,914.96
  6. Step 6: Final answer
    x = 61,751.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.