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Finding the Fourth Proportional to 202,047, 278,944.46 and 179,629.08

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Solution

The fourth proportional to 202,047, 278,944.46 and 179,629.08 is: 247,994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,047 : 278,944.46 = 179,629.08 : x
  2. Step 2: Convert to fraction form
    202,047/278,944.46 = 179,629.08/x
  3. Step 3: Cross multiply
    202,047x = 278,944.46 × 179,629.08
  4. Step 4: Simplify right side
    202,047x = 50,106,536,720.90
  5. Step 5: Solve for x
    x = 50,106,536,720.90/202,047
  6. Step 6: Final answer
    x = 247,994.46

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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.