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Finding the Fourth Proportional to 273,827.85, 410,710.64 and 74,163.80

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Solution

The fourth proportional to 273,827.85, 410,710.64 and 74,163.80 is: 111,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,827.85 : 410,710.64 = 74,163.80 : x
  2. Step 2: Convert to fraction form
    273,827.85/410,710.64 = 74,163.80/x
  3. Step 3: Cross multiply
    273,827.85x = 410,710.64 × 74,163.80
  4. Step 4: Simplify right side
    273,827.85x = 30,459,859,338.46
  5. Step 5: Solve for x
    x = 30,459,859,338.46/273,827.85
  6. Step 6: Final answer
    x = 111,237.26

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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.