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Finding the Fourth Proportional to 273,604.71, 410,448.20 and 96,080.48

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Solution

The fourth proportional to 273,604.71, 410,448.20 and 96,080.48 is: 144,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,604.71 : 410,448.20 = 96,080.48 : x
  2. Step 2: Convert to fraction form
    273,604.71/410,448.20 = 96,080.48/x
  3. Step 3: Cross multiply
    273,604.71x = 410,448.20 × 96,080.48
  4. Step 4: Simplify right side
    273,604.71x = 39,436,057,538.49
  5. Step 5: Solve for x
    x = 39,436,057,538.49/273,604.71
  6. Step 6: Final answer
    x = 144,135.16

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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.