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Finding the Fourth Proportional to 200,382.02, 276,714.51 and 128,886.15

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Solution

The fourth proportional to 200,382.02, 276,714.51 and 128,886.15 is: 177,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,382.02 : 276,714.51 = 128,886.15 : x
  2. Step 2: Convert to fraction form
    200,382.02/276,714.51 = 128,886.15/x
  3. Step 3: Cross multiply
    200,382.02x = 276,714.51 × 128,886.15
  4. Step 4: Simplify right side
    200,382.02x = 35,664,667,843.04
  5. Step 5: Solve for x
    x = 35,664,667,843.04/200,382.02
  6. Step 6: Final answer
    x = 177,983.38

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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.