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Finding the Fourth Proportional to 281,343.68, 422,015.52 and 94,354.64

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Solution

The fourth proportional to 281,343.68, 422,015.52 and 94,354.64 is: 141,531.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,343.68 : 422,015.52 = 94,354.64 : x
  2. Step 2: Convert to fraction form
    281,343.68/422,015.52 = 94,354.64/x
  3. Step 3: Cross multiply
    281,343.68x = 422,015.52 × 94,354.64
  4. Step 4: Simplify right side
    281,343.68x = 39,819,122,464.01
  5. Step 5: Solve for x
    x = 39,819,122,464.01/281,343.68
  6. Step 6: Final answer
    x = 141,531.96

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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.