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Finding the Fourth Proportional to 248,568.64, 343,025.44 and 147,965.76

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Solution

The fourth proportional to 248,568.64, 343,025.44 and 147,965.76 is: 204,193.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,568.64 : 343,025.44 = 147,965.76 : x
  2. Step 2: Convert to fraction form
    248,568.64/343,025.44 = 147,965.76/x
  3. Step 3: Cross multiply
    248,568.64x = 343,025.44 × 147,965.76
  4. Step 4: Simplify right side
    248,568.64x = 50,756,019,928.93
  5. Step 5: Solve for x
    x = 50,756,019,928.93/248,568.64
  6. Step 6: Final answer
    x = 204,193.18

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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.