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Finding the Fourth Proportional to 201,006.12, 301,463.13 and 119,976

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Solution

The fourth proportional to 201,006.12, 301,463.13 and 119,976 is: 179,936.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,006.12 : 301,463.13 = 119,976 : x
  2. Step 2: Convert to fraction form
    201,006.12/301,463.13 = 119,976/x
  3. Step 3: Cross multiply
    201,006.12x = 301,463.13 × 119,976
  4. Step 4: Simplify right side
    201,006.12x = 36,168,340,484.88
  5. Step 5: Solve for x
    x = 36,168,340,484.88/201,006.12
  6. Step 6: Final answer
    x = 179,936.51

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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.