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Finding the Fourth Proportional to 281,888.52, 422,894.98 and 82,224.53

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Solution

The fourth proportional to 281,888.52, 422,894.98 and 82,224.53 is: 123,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,888.52 : 422,894.98 = 82,224.53 : x
  2. Step 2: Convert to fraction form
    281,888.52/422,894.98 = 82,224.53/x
  3. Step 3: Cross multiply
    281,888.52x = 422,894.98 × 82,224.53
  4. Step 4: Simplify right side
    281,888.52x = 34,772,340,969.86
  5. Step 5: Solve for x
    x = 34,772,340,969.86/281,888.52
  6. Step 6: Final answer
    x = 123,354.94

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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.