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Finding the Fourth Proportional to 130,576.50, 195,866.91 and 56,704.50

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Solution

The fourth proportional to 130,576.50, 195,866.91 and 56,704.50 is: 85,057.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,576.50 : 195,866.91 = 56,704.50 : x
  2. Step 2: Convert to fraction form
    130,576.50/195,866.91 = 56,704.50/x
  3. Step 3: Cross multiply
    130,576.50x = 195,866.91 × 56,704.50
  4. Step 4: Simplify right side
    130,576.50x = 11,106,535,198.10
  5. Step 5: Solve for x
    x = 11,106,535,198.10/130,576.50
  6. Step 6: Final answer
    x = 85,057.69

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Why These Related Problems?

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