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Finding the Fourth Proportional to 273,812.20, 410,660.70 and 116,045.80

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Solution

The fourth proportional to 273,812.20, 410,660.70 and 116,045.80 is: 174,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,812.20 : 410,660.70 = 116,045.80 : x
  2. Step 2: Convert to fraction form
    273,812.20/410,660.70 = 116,045.80/x
  3. Step 3: Cross multiply
    273,812.20x = 410,660.70 × 116,045.80
  4. Step 4: Simplify right side
    273,812.20x = 47,655,449,460.06
  5. Step 5: Solve for x
    x = 47,655,449,460.06/273,812.20
  6. Step 6: Final answer
    x = 174,044.29

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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.