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Finding the Fourth Proportional to 190,907.38, 263,452.18 and 106,032.34

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Solution

The fourth proportional to 190,907.38, 263,452.18 and 106,032.34 is: 146,324.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,907.38 : 263,452.18 = 106,032.34 : x
  2. Step 2: Convert to fraction form
    190,907.38/263,452.18 = 106,032.34/x
  3. Step 3: Cross multiply
    190,907.38x = 263,452.18 × 106,032.34
  4. Step 4: Simplify right side
    190,907.38x = 27,934,449,806.24
  5. Step 5: Solve for x
    x = 27,934,449,806.24/190,907.38
  6. Step 6: Final answer
    x = 146,324.62

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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.