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Finding the Fourth Proportional to 281,898.42, 422,782.90 and 168,078.42

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Solution

The fourth proportional to 281,898.42, 422,782.90 and 168,078.42 is: 252,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,898.42 : 422,782.90 = 168,078.42 : x
  2. Step 2: Convert to fraction form
    281,898.42/422,782.90 = 168,078.42/x
  3. Step 3: Cross multiply
    281,898.42x = 422,782.90 × 168,078.42
  4. Step 4: Simplify right side
    281,898.42x = 71,060,681,835.02
  5. Step 5: Solve for x
    x = 71,060,681,835.02/281,898.42
  6. Step 6: Final answer
    x = 252,079.04

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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.