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Finding the Fourth Proportional to 254,884.68, 382,431.60 and 112,654.80

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Solution

The fourth proportional to 254,884.68, 382,431.60 and 112,654.80 is: 169,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,884.68 : 382,431.60 = 112,654.80 : x
  2. Step 2: Convert to fraction form
    254,884.68/382,431.60 = 112,654.80/x
  3. Step 3: Cross multiply
    254,884.68x = 382,431.60 × 112,654.80
  4. Step 4: Simplify right side
    254,884.68x = 43,082,755,411.68
  5. Step 5: Solve for x
    x = 43,082,755,411.68/254,884.68
  6. Step 6: Final answer
    x = 169,028.42

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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.