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Finding the Fourth Proportional to 208,950, 288,351 and 119,526

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Solution

The fourth proportional to 208,950, 288,351 and 119,526 is: 164,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,950 : 288,351 = 119,526 : x
  2. Step 2: Convert to fraction form
    208,950/288,351 = 119,526/x
  3. Step 3: Cross multiply
    208,950x = 288,351 × 119,526
  4. Step 4: Simplify right side
    208,950x = 34,465,441,626
  5. Step 5: Solve for x
    x = 34,465,441,626/208,950
  6. Step 6: Final answer
    x = 164,945.88

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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.