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Finding the Fourth Proportional to 281,390.63, 422,165.01 and 113,029.16

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Solution

The fourth proportional to 281,390.63, 422,165.01 and 113,029.16 is: 169,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,390.63 : 422,165.01 = 113,029.16 : x
  2. Step 2: Convert to fraction form
    281,390.63/422,165.01 = 113,029.16/x
  3. Step 3: Cross multiply
    281,390.63x = 422,165.01 × 113,029.16
  4. Step 4: Simplify right side
    281,390.63x = 47,716,954,774.73
  5. Step 5: Solve for x
    x = 47,716,954,774.73/281,390.63
  6. Step 6: Final answer
    x = 169,575.50

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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.