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Finding the Fourth Proportional to 200,476.38, 276,657.30 and 119,903.91

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Solution

The fourth proportional to 200,476.38, 276,657.30 and 119,903.91 is: 165,467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,476.38 : 276,657.30 = 119,903.91 : x
  2. Step 2: Convert to fraction form
    200,476.38/276,657.30 = 119,903.91/x
  3. Step 3: Cross multiply
    200,476.38x = 276,657.30 × 119,903.91
  4. Step 4: Simplify right side
    200,476.38x = 33,172,292,000.04
  5. Step 5: Solve for x
    x = 33,172,292,000.04/200,476.38
  6. Step 6: Final answer
    x = 165,467.33

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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.