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Finding the Fourth Proportional to 281,990.68, 422,986.02 and 164,482.36

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Solution

The fourth proportional to 281,990.68, 422,986.02 and 164,482.36 is: 246,723.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,990.68 : 422,986.02 = 164,482.36 : x
  2. Step 2: Convert to fraction form
    281,990.68/422,986.02 = 164,482.36/x
  3. Step 3: Cross multiply
    281,990.68x = 422,986.02 × 164,482.36
  4. Step 4: Simplify right side
    281,990.68x = 69,573,738,816.61
  5. Step 5: Solve for x
    x = 69,573,738,816.61/281,990.68
  6. Step 6: Final answer
    x = 246,723.54

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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.