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Finding the Fourth Proportional to 196,123.50, 293,907.14 and 82,148.56

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Solution

The fourth proportional to 196,123.50, 293,907.14 and 82,148.56 is: 123,106.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,123.50 : 293,907.14 = 82,148.56 : x
  2. Step 2: Convert to fraction form
    196,123.50/293,907.14 = 82,148.56/x
  3. Step 3: Cross multiply
    196,123.50x = 293,907.14 × 82,148.56
  4. Step 4: Simplify right side
    196,123.50x = 24,144,048,324.72
  5. Step 5: Solve for x
    x = 24,144,048,324.72/196,123.50
  6. Step 6: Final answer
    x = 123,106.35

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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.