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Finding the Fourth Proportional to 129,852.96, 194,889.96 and 51,022.32

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Solution

The fourth proportional to 129,852.96, 194,889.96 and 51,022.32 is: 76,576.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,852.96 : 194,889.96 = 51,022.32 : x
  2. Step 2: Convert to fraction form
    129,852.96/194,889.96 = 51,022.32/x
  3. Step 3: Cross multiply
    129,852.96x = 194,889.96 × 51,022.32
  4. Step 4: Simplify right side
    129,852.96x = 9,943,737,903.91
  5. Step 5: Solve for x
    x = 9,943,737,903.91/129,852.96
  6. Step 6: Final answer
    x = 76,576.91

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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.