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Finding the Fourth Proportional to 273,378.80, 410,183.40 and 148,809.20

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Solution

The fourth proportional to 273,378.80, 410,183.40 and 148,809.20 is: 223,276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,378.80 : 410,183.40 = 148,809.20 : x
  2. Step 2: Convert to fraction form
    273,378.80/410,183.40 = 148,809.20/x
  3. Step 3: Cross multiply
    273,378.80x = 410,183.40 × 148,809.20
  4. Step 4: Simplify right side
    273,378.80x = 61,039,063,607.28
  5. Step 5: Solve for x
    x = 61,039,063,607.28/273,378.80
  6. Step 6: Final answer
    x = 223,276.51

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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.