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Finding the Fourth Proportional to 281,897.42, 422,781.40 and 168,077.42

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Solution

The fourth proportional to 281,897.42, 422,781.40 and 168,077.42 is: 252,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,897.42 : 422,781.40 = 168,077.42 : x
  2. Step 2: Convert to fraction form
    281,897.42/422,781.40 = 168,077.42/x
  3. Step 3: Cross multiply
    281,897.42x = 422,781.40 × 168,077.42
  4. Step 4: Simplify right side
    281,897.42x = 71,060,006,935.99
  5. Step 5: Solve for x
    x = 71,060,006,935.99/281,897.42
  6. Step 6: Final answer
    x = 252,077.54

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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.