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Finding the Fourth Proportional to 273,853.40, 410,823.30 and 86,883.80

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Solution

The fourth proportional to 273,853.40, 410,823.30 and 86,883.80 is: 130,339.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,853.40 : 410,823.30 = 86,883.80 : x
  2. Step 2: Convert to fraction form
    273,853.40/410,823.30 = 86,883.80/x
  3. Step 3: Cross multiply
    273,853.40x = 410,823.30 × 86,883.80
  4. Step 4: Simplify right side
    273,853.40x = 35,693,889,432.54
  5. Step 5: Solve for x
    x = 35,693,889,432.54/273,853.40
  6. Step 6: Final answer
    x = 130,339.41

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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.