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Finding the Fourth Proportional to 357,123.63, 492,836.60 and 195,993.68

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Solution

The fourth proportional to 357,123.63, 492,836.60 and 195,993.68 is: 270,474.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,123.63 : 492,836.60 = 195,993.68 : x
  2. Step 2: Convert to fraction form
    357,123.63/492,836.60 = 195,993.68/x
  3. Step 3: Cross multiply
    357,123.63x = 492,836.60 × 195,993.68
  4. Step 4: Simplify right side
    357,123.63x = 96,592,856,898.49
  5. Step 5: Solve for x
    x = 96,592,856,898.49/357,123.63
  6. Step 6: Final answer
    x = 270,474.56

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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.