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Finding the Fourth Proportional to 281,684.55, 422,231.56 and 104,078.28

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Solution

The fourth proportional to 281,684.55, 422,231.56 and 104,078.28 is: 156,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,684.55 : 422,231.56 = 104,078.28 : x
  2. Step 2: Convert to fraction form
    281,684.55/422,231.56 = 104,078.28/x
  3. Step 3: Cross multiply
    281,684.55x = 422,231.56 × 104,078.28
  4. Step 4: Simplify right side
    281,684.55x = 43,945,134,526.52
  5. Step 5: Solve for x
    x = 43,945,134,526.52/281,684.55
  6. Step 6: Final answer
    x = 156,008.32

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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.