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Finding the Fourth Proportional to 105,800.38, 146,072.92 and 65,556.84

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Solution

The fourth proportional to 105,800.38, 146,072.92 and 65,556.84 is: 90,510.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,800.38 : 146,072.92 = 65,556.84 : x
  2. Step 2: Convert to fraction form
    105,800.38/146,072.92 = 65,556.84/x
  3. Step 3: Cross multiply
    105,800.38x = 146,072.92 × 65,556.84
  4. Step 4: Simplify right side
    105,800.38x = 9,576,079,551.57
  5. Step 5: Solve for x
    x = 9,576,079,551.57/105,800.38
  6. Step 6: Final answer
    x = 90,510.83

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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.