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Finding the Fourth Proportional to 200,675.76, 301,058 and 67,551.63

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Solution

The fourth proportional to 200,675.76, 301,058 and 67,551.63 is: 101,342.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,675.76 : 301,058 = 67,551.63 : x
  2. Step 2: Convert to fraction form
    200,675.76/301,058 = 67,551.63/x
  3. Step 3: Cross multiply
    200,675.76x = 301,058 × 67,551.63
  4. Step 4: Simplify right side
    200,675.76x = 20,336,958,624.54
  5. Step 5: Solve for x
    x = 20,336,958,624.54/200,675.76
  6. Step 6: Final answer
    x = 101,342.38

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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.