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Finding the Fourth Proportional to 273,834.32, 410,798.19 and 122,086.46

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Solution

The fourth proportional to 273,834.32, 410,798.19 and 122,086.46 is: 183,150.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,834.32 : 410,798.19 = 122,086.46 : x
  2. Step 2: Convert to fraction form
    273,834.32/410,798.19 = 122,086.46/x
  3. Step 3: Cross multiply
    273,834.32x = 410,798.19 × 122,086.46
  4. Step 4: Simplify right side
    273,834.32x = 50,152,897,589.59
  5. Step 5: Solve for x
    x = 50,152,897,589.59/273,834.32
  6. Step 6: Final answer
    x = 183,150.52

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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.