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Finding the Fourth Proportional to 357,123.50, 492,836.43 and 195,993.54

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Solution

The fourth proportional to 357,123.50, 492,836.43 and 195,993.54 is: 270,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,123.50 : 492,836.43 = 195,993.54 : x
  2. Step 2: Convert to fraction form
    357,123.50/492,836.43 = 195,993.54/x
  3. Step 3: Cross multiply
    357,123.50x = 492,836.43 × 195,993.54
  4. Step 4: Simplify right side
    357,123.50x = 96,592,756,556.66
  5. Step 5: Solve for x
    x = 96,592,756,556.66/357,123.50
  6. Step 6: Final answer
    x = 270,474.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.