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Finding the Fourth Proportional to 204,769, 307,153.50 and 57,025

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Solution

The fourth proportional to 204,769, 307,153.50 and 57,025 is: 85,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,769 : 307,153.50 = 57,025 : x
  2. Step 2: Convert to fraction form
    204,769/307,153.50 = 57,025/x
  3. Step 3: Cross multiply
    204,769x = 307,153.50 × 57,025
  4. Step 4: Simplify right side
    204,769x = 17,515,428,337.50
  5. Step 5: Solve for x
    x = 17,515,428,337.50/204,769
  6. Step 6: Final answer
    x = 85,537.50

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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.