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Finding the Fourth Proportional to 273,385.44, 410,097.78 and 83,821.20

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Solution

The fourth proportional to 273,385.44, 410,097.78 and 83,821.20 is: 125,737.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,385.44 : 410,097.78 = 83,821.20 : x
  2. Step 2: Convert to fraction form
    273,385.44/410,097.78 = 83,821.20/x
  3. Step 3: Cross multiply
    273,385.44x = 410,097.78 × 83,821.20
  4. Step 4: Simplify right side
    273,385.44x = 34,374,888,036.94
  5. Step 5: Solve for x
    x = 34,374,888,036.94/273,385.44
  6. Step 6: Final answer
    x = 125,737.82

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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.