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Finding the Fourth Proportional to 273,845.40, 410,811.30 and 86,875.80

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Solution

The fourth proportional to 273,845.40, 410,811.30 and 86,875.80 is: 130,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,845.40 : 410,811.30 = 86,875.80 : x
  2. Step 2: Convert to fraction form
    273,845.40/410,811.30 = 86,875.80/x
  3. Step 3: Cross multiply
    273,845.40x = 410,811.30 × 86,875.80
  4. Step 4: Simplify right side
    273,845.40x = 35,689,560,336.54
  5. Step 5: Solve for x
    x = 35,689,560,336.54/273,845.40
  6. Step 6: Final answer
    x = 130,327.40

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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.