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Finding the Fourth Proportional to 200,646.08, 276,664.84 and 127,951.82

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Solution

The fourth proportional to 200,646.08, 276,664.84 and 127,951.82 is: 176,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,646.08 : 276,664.84 = 127,951.82 : x
  2. Step 2: Convert to fraction form
    200,646.08/276,664.84 = 127,951.82/x
  3. Step 3: Cross multiply
    200,646.08x = 276,664.84 × 127,951.82
  4. Step 4: Simplify right side
    200,646.08x = 35,399,768,104.81
  5. Step 5: Solve for x
    x = 35,399,768,104.81/200,646.08
  6. Step 6: Final answer
    x = 176,428.91

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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.