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Finding the Fourth Proportional to 204,058, 306,104.64 and 56,314

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Solution

The fourth proportional to 204,058, 306,104.64 and 56,314 is: 84,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,058 : 306,104.64 = 56,314 : x
  2. Step 2: Convert to fraction form
    204,058/306,104.64 = 56,314/x
  3. Step 3: Cross multiply
    204,058x = 306,104.64 × 56,314
  4. Step 4: Simplify right side
    204,058x = 17,237,976,696.96
  5. Step 5: Solve for x
    x = 17,237,976,696.96/204,058
  6. Step 6: Final answer
    x = 84,475.87

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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.