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Finding the Fourth Proportional to 281,775.92, 388,197.24 and 196,758.32

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Solution

The fourth proportional to 281,775.92, 388,197.24 and 196,758.32 is: 271,070.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,775.92 : 388,197.24 = 196,758.32 : x
  2. Step 2: Convert to fraction form
    281,775.92/388,197.24 = 196,758.32/x
  3. Step 3: Cross multiply
    281,775.92x = 388,197.24 × 196,758.32
  4. Step 4: Simplify right side
    281,775.92x = 76,381,036,771.04
  5. Step 5: Solve for x
    x = 76,381,036,771.04/281,775.92
  6. Step 6: Final answer
    x = 271,070.14

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1.5x scale

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.