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Finding the Fourth Proportional to 208,434.36, 287,644.71 and 127,906.38

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Solution

The fourth proportional to 208,434.36, 287,644.71 and 127,906.38 is: 176,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,434.36 : 287,644.71 = 127,906.38 : x
  2. Step 2: Convert to fraction form
    208,434.36/287,644.71 = 127,906.38/x
  3. Step 3: Cross multiply
    208,434.36x = 287,644.71 × 127,906.38
  4. Step 4: Simplify right side
    208,434.36x = 36,791,593,582.25
  5. Step 5: Solve for x
    x = 36,791,593,582.25/208,434.36
  6. Step 6: Final answer
    x = 176,514.05

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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.