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Finding the Fourth Proportional to 200,597.76, 300,897 and 50,838

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Solution

The fourth proportional to 200,597.76, 300,897 and 50,838 is: 76,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,597.76 : 300,897 = 50,838 : x
  2. Step 2: Convert to fraction form
    200,597.76/300,897 = 50,838/x
  3. Step 3: Cross multiply
    200,597.76x = 300,897 × 50,838
  4. Step 4: Simplify right side
    200,597.76x = 15,297,001,686
  5. Step 5: Solve for x
    x = 15,297,001,686/200,597.76
  6. Step 6: Final answer
    x = 76,257.09

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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.