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Finding the Fourth Proportional to 281,751.64, 422,471.94 and 115,656.28

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Solution

The fourth proportional to 281,751.64, 422,471.94 and 115,656.28 is: 173,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,751.64 : 422,471.94 = 115,656.28 : x
  2. Step 2: Convert to fraction form
    281,751.64/422,471.94 = 115,656.28/x
  3. Step 3: Cross multiply
    281,751.64x = 422,471.94 × 115,656.28
  4. Step 4: Simplify right side
    281,751.64x = 48,861,532,984.78
  5. Step 5: Solve for x
    x = 48,861,532,984.78/281,751.64
  6. Step 6: Final answer
    x = 173,420.58

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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.