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Finding the Fourth Proportional to 132,694.69, 199,075.75 and 39,200.44

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Solution

The fourth proportional to 132,694.69, 199,075.75 and 39,200.44 is: 58,810.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,694.69 : 199,075.75 = 39,200.44 : x
  2. Step 2: Convert to fraction form
    132,694.69/199,075.75 = 39,200.44/x
  3. Step 3: Cross multiply
    132,694.69x = 199,075.75 × 39,200.44
  4. Step 4: Simplify right side
    132,694.69x = 7,803,856,397.64
  5. Step 5: Solve for x
    x = 7,803,856,397.64/132,694.69
  6. Step 6: Final answer
    x = 58,810.62

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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.