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Finding the Fourth Proportional to 129,688.56, 194,529 and 53,779.44

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Solution

The fourth proportional to 129,688.56, 194,529 and 53,779.44 is: 80,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,688.56 : 194,529 = 53,779.44 : x
  2. Step 2: Convert to fraction form
    129,688.56/194,529 = 53,779.44/x
  3. Step 3: Cross multiply
    129,688.56x = 194,529 × 53,779.44
  4. Step 4: Simplify right side
    129,688.56x = 10,461,660,683.76
  5. Step 5: Solve for x
    x = 10,461,660,683.76/129,688.56
  6. Step 6: Final answer
    x = 80,667.57

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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.