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Finding the Fourth Proportional to 200,476.73, 276,657.80 and 119,904.26

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Solution

The fourth proportional to 200,476.73, 276,657.80 and 119,904.26 is: 165,467.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,476.73 : 276,657.80 = 119,904.26 : x
  2. Step 2: Convert to fraction form
    200,476.73/276,657.80 = 119,904.26/x
  3. Step 3: Cross multiply
    200,476.73x = 276,657.80 × 119,904.26
  4. Step 4: Simplify right side
    200,476.73x = 33,172,446,799.42
  5. Step 5: Solve for x
    x = 33,172,446,799.42/200,476.73
  6. Step 6: Final answer
    x = 165,467.81

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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.