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Finding the Fourth Proportional to 202,924.44, 280,011.74 and 112,268.43

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Solution

The fourth proportional to 202,924.44, 280,011.74 and 112,268.43 is: 154,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,924.44 : 280,011.74 = 112,268.43 : x
  2. Step 2: Convert to fraction form
    202,924.44/280,011.74 = 112,268.43/x
  3. Step 3: Cross multiply
    202,924.44x = 280,011.74 × 112,268.43
  4. Step 4: Simplify right side
    202,924.44x = 31,436,477,870.03
  5. Step 5: Solve for x
    x = 31,436,477,870.03/202,924.44
  6. Step 6: Final answer
    x = 154,917.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.