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Finding the Fourth Proportional to 193,537.60, 289,922.40 and 170,446.40

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Solution

The fourth proportional to 193,537.60, 289,922.40 and 170,446.40 is: 255,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,537.60 : 289,922.40 = 170,446.40 : x
  2. Step 2: Convert to fraction form
    193,537.60/289,922.40 = 170,446.40/x
  3. Step 3: Cross multiply
    193,537.60x = 289,922.40 × 170,446.40
  4. Step 4: Simplify right side
    193,537.60x = 49,416,229,359.36
  5. Step 5: Solve for x
    x = 49,416,229,359.36/193,537.60
  6. Step 6: Final answer
    x = 255,331.42

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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.