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Finding the Fourth Proportional to 273,838.60, 410,819.10 and 96,351.40

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Solution

The fourth proportional to 273,838.60, 410,819.10 and 96,351.40 is: 144,548.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,838.60 : 410,819.10 = 96,351.40 : x
  2. Step 2: Convert to fraction form
    273,838.60/410,819.10 = 96,351.40/x
  3. Step 3: Cross multiply
    273,838.60x = 410,819.10 × 96,351.40
  4. Step 4: Simplify right side
    273,838.60x = 39,582,995,431.74
  5. Step 5: Solve for x
    x = 39,582,995,431.74/273,838.60
  6. Step 6: Final answer
    x = 144,548.63

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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.