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Finding the Fourth Proportional to 281,387, 422,080.50 and 84,395

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Solution

The fourth proportional to 281,387, 422,080.50 and 84,395 is: 126,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,387 : 422,080.50 = 84,395 : x
  2. Step 2: Convert to fraction form
    281,387/422,080.50 = 84,395/x
  3. Step 3: Cross multiply
    281,387x = 422,080.50 × 84,395
  4. Step 4: Simplify right side
    281,387x = 35,621,483,797.50
  5. Step 5: Solve for x
    x = 35,621,483,797.50/281,387
  6. Step 6: Final answer
    x = 126,592.50

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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.