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Finding the Fourth Proportional to 206,950, 285,591.36 and 117,526

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Solution

The fourth proportional to 206,950, 285,591.36 and 117,526 is: 162,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,950 : 285,591.36 = 117,526 : x
  2. Step 2: Convert to fraction form
    206,950/285,591.36 = 117,526/x
  3. Step 3: Cross multiply
    206,950x = 285,591.36 × 117,526
  4. Step 4: Simplify right side
    206,950x = 33,564,410,175.36
  5. Step 5: Solve for x
    x = 33,564,410,175.36/206,950
  6. Step 6: Final answer
    x = 162,186.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.