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Finding the Fourth Proportional to 273,847.40, 410,814.30 and 86,877.80

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Solution

The fourth proportional to 273,847.40, 410,814.30 and 86,877.80 is: 130,330.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,847.40 : 410,814.30 = 86,877.80 : x
  2. Step 2: Convert to fraction form
    273,847.40/410,814.30 = 86,877.80/x
  3. Step 3: Cross multiply
    273,847.40x = 410,814.30 × 86,877.80
  4. Step 4: Simplify right side
    273,847.40x = 35,690,642,592.54
  5. Step 5: Solve for x
    x = 35,690,642,592.54/273,847.40
  6. Step 6: Final answer
    x = 130,330.41

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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.