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Finding the Fourth Proportional to 193,192.65, 289,815.36 and 66,798.96

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Solution

The fourth proportional to 193,192.65, 289,815.36 and 66,798.96 is: 100,207.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,192.65 : 289,815.36 = 66,798.96 : x
  2. Step 2: Convert to fraction form
    193,192.65/289,815.36 = 66,798.96/x
  3. Step 3: Cross multiply
    193,192.65x = 289,815.36 × 66,798.96
  4. Step 4: Simplify right side
    193,192.65x = 19,359,363,504.56
  5. Step 5: Solve for x
    x = 19,359,363,504.56/193,192.65
  6. Step 6: Final answer
    x = 100,207.56

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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.