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Finding the Fourth Proportional to 204,770, 307,155 and 57,026

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Solution

The fourth proportional to 204,770, 307,155 and 57,026 is: 85,539

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,770 : 307,155 = 57,026 : x
  2. Step 2: Convert to fraction form
    204,770/307,155 = 57,026/x
  3. Step 3: Cross multiply
    204,770x = 307,155 × 57,026
  4. Step 4: Simplify right side
    204,770x = 17,515,821,030
  5. Step 5: Solve for x
    x = 17,515,821,030/204,770
  6. Step 6: Final answer
    x = 85,539

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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.