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Finding the Fourth Proportional to 200,468.82, 276,646.16 and 109,824.68

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Solution

The fourth proportional to 200,468.82, 276,646.16 and 109,824.68 is: 151,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,468.82 : 276,646.16 = 109,824.68 : x
  2. Step 2: Convert to fraction form
    200,468.82/276,646.16 = 109,824.68/x
  3. Step 3: Cross multiply
    200,468.82x = 276,646.16 × 109,824.68
  4. Step 4: Simplify right side
    200,468.82x = 30,382,575,995.23
  5. Step 5: Solve for x
    x = 30,382,575,995.23/200,468.82
  6. Step 6: Final answer
    x = 151,557.61

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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.