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Finding the Fourth Proportional to 129,854.50, 194,816.31 and 41,109.82

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Solution

The fourth proportional to 129,854.50, 194,816.31 and 41,109.82 is: 61,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,854.50 : 194,816.31 = 41,109.82 : x
  2. Step 2: Convert to fraction form
    129,854.50/194,816.31 = 41,109.82/x
  3. Step 3: Cross multiply
    129,854.50x = 194,816.31 × 41,109.82
  4. Step 4: Simplify right side
    129,854.50x = 8,008,863,437.16
  5. Step 5: Solve for x
    x = 8,008,863,437.16/129,854.50
  6. Step 6: Final answer
    x = 61,675.67

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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.