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Finding the Fourth Proportional to 273,296.24, 409,767.72 and 107,101.04

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Solution

The fourth proportional to 273,296.24, 409,767.72 and 107,101.04 is: 160,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,296.24 : 409,767.72 = 107,101.04 : x
  2. Step 2: Convert to fraction form
    273,296.24/409,767.72 = 107,101.04/x
  3. Step 3: Cross multiply
    273,296.24x = 409,767.72 × 107,101.04
  4. Step 4: Simplify right side
    273,296.24x = 43,886,548,970.43
  5. Step 5: Solve for x
    x = 43,886,548,970.43/273,296.24
  6. Step 6: Final answer
    x = 160,582.34

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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.