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Finding the Fourth Proportional to 273,747.60, 410,660.28 and 84,223.67

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Solution

The fourth proportional to 273,747.60, 410,660.28 and 84,223.67 is: 126,347.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,747.60 : 410,660.28 = 84,223.67 : x
  2. Step 2: Convert to fraction form
    273,747.60/410,660.28 = 84,223.67/x
  3. Step 3: Cross multiply
    273,747.60x = 410,660.28 × 84,223.67
  4. Step 4: Simplify right side
    273,747.60x = 34,587,313,851.53
  5. Step 5: Solve for x
    x = 34,587,313,851.53/273,747.60
  6. Step 6: Final answer
    x = 126,347.46

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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.