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Finding the Fourth Proportional to 105,576.92, 145,640.94 and 65,277.80

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Solution

The fourth proportional to 105,576.92, 145,640.94 and 65,277.80 is: 90,049.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,576.92 : 145,640.94 = 65,277.80 : x
  2. Step 2: Convert to fraction form
    105,576.92/145,640.94 = 65,277.80/x
  3. Step 3: Cross multiply
    105,576.92x = 145,640.94 × 65,277.80
  4. Step 4: Simplify right side
    105,576.92x = 9,507,120,153.13
  5. Step 5: Solve for x
    x = 9,507,120,153.13/105,576.92
  6. Step 6: Final answer
    x = 90,049.23

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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.