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Finding the Fourth Proportional to 130,338.59, 195,511.31 and 41,592

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Solution

The fourth proportional to 130,338.59, 195,511.31 and 41,592 is: 62,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,338.59 : 195,511.31 = 41,592 : x
  2. Step 2: Convert to fraction form
    130,338.59/195,511.31 = 41,592/x
  3. Step 3: Cross multiply
    130,338.59x = 195,511.31 × 41,592
  4. Step 4: Simplify right side
    130,338.59x = 8,131,706,197.56
  5. Step 5: Solve for x
    x = 8,131,706,197.56/130,338.59
  6. Step 6: Final answer
    x = 62,389.09

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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.