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Finding the Fourth Proportional to 205,463.17, 308,292.50 and 142,380.37

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Solution

The fourth proportional to 205,463.17, 308,292.50 and 142,380.37 is: 213,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,463.17 : 308,292.50 = 142,380.37 : x
  2. Step 2: Convert to fraction form
    205,463.17/308,292.50 = 142,380.37/x
  3. Step 3: Cross multiply
    205,463.17x = 308,292.50 × 142,380.37
  4. Step 4: Simplify right side
    205,463.17x = 43,894,800,218.23
  5. Step 5: Solve for x
    x = 43,894,800,218.23/205,463.17
  6. Step 6: Final answer
    x = 213,638.29

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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.