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Finding the Fourth Proportional to 281,727.89, 389,300.04 and 205,114.01

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Solution

The fourth proportional to 281,727.89, 389,300.04 and 205,114.01 is: 283,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,727.89 : 389,300.04 = 205,114.01 : x
  2. Step 2: Convert to fraction form
    281,727.89/389,300.04 = 205,114.01/x
  3. Step 3: Cross multiply
    281,727.89x = 389,300.04 × 205,114.01
  4. Step 4: Simplify right side
    281,727.89x = 79,850,890,351.06
  5. Step 5: Solve for x
    x = 79,850,890,351.06/281,727.89
  6. Step 6: Final answer
    x = 283,432.68

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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.