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Finding the Fourth Proportional to 208,101.03, 287,180.75 and 122,042.47

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Solution

The fourth proportional to 208,101.03, 287,180.75 and 122,042.47 is: 168,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,101.03 : 287,180.75 = 122,042.47 : x
  2. Step 2: Convert to fraction form
    208,101.03/287,180.75 = 122,042.47/x
  3. Step 3: Cross multiply
    208,101.03x = 287,180.75 × 122,042.47
  4. Step 4: Simplify right side
    208,101.03x = 35,048,246,020.34
  5. Step 5: Solve for x
    x = 35,048,246,020.34/208,101.03
  6. Step 6: Final answer
    x = 168,419.38

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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.