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Finding the Fourth Proportional to 281,434.41, 422,307.41 and 104,057.78

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Solution

The fourth proportional to 281,434.41, 422,307.41 and 104,057.78 is: 156,144.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,434.41 : 422,307.41 = 104,057.78 : x
  2. Step 2: Convert to fraction form
    281,434.41/422,307.41 = 104,057.78/x
  3. Step 3: Cross multiply
    281,434.41x = 422,307.41 × 104,057.78
  4. Step 4: Simplify right side
    281,434.41x = 43,944,368,930.32
  5. Step 5: Solve for x
    x = 43,944,368,930.32/281,434.41
  6. Step 6: Final answer
    x = 156,144.26

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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.