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Finding the Fourth Proportional to 200,648.61, 276,799.68 and 120,059.91

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Solution

The fourth proportional to 200,648.61, 276,799.68 and 120,059.91 is: 165,625.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,648.61 : 276,799.68 = 120,059.91 : x
  2. Step 2: Convert to fraction form
    200,648.61/276,799.68 = 120,059.91/x
  3. Step 3: Cross multiply
    200,648.61x = 276,799.68 × 120,059.91
  4. Step 4: Simplify right side
    200,648.61x = 33,232,544,668.83
  5. Step 5: Solve for x
    x = 33,232,544,668.83/200,648.61
  6. Step 6: Final answer
    x = 165,625.59

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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.