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Finding the Fourth Proportional to 205,553.52, 308,264.67 and 65,279.34

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Solution

The fourth proportional to 205,553.52, 308,264.67 and 65,279.34 is: 97,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,553.52 : 308,264.67 = 65,279.34 : x
  2. Step 2: Convert to fraction form
    205,553.52/308,264.67 = 65,279.34/x
  3. Step 3: Cross multiply
    205,553.52x = 308,264.67 × 65,279.34
  4. Step 4: Simplify right side
    205,553.52x = 20,123,314,202.92
  5. Step 5: Solve for x
    x = 20,123,314,202.92/205,553.52
  6. Step 6: Final answer
    x = 97,898.17

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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.