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Finding the Fourth Proportional to 204,057, 306,103.14 and 56,313

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Solution

The fourth proportional to 204,057, 306,103.14 and 56,313 is: 84,474.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,057 : 306,103.14 = 56,313 : x
  2. Step 2: Convert to fraction form
    204,057/306,103.14 = 56,313/x
  3. Step 3: Cross multiply
    204,057x = 306,103.14 × 56,313
  4. Step 4: Simplify right side
    204,057x = 17,237,586,122.82
  5. Step 5: Solve for x
    x = 17,237,586,122.82/204,057
  6. Step 6: Final answer
    x = 84,474.37

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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.