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Finding the Fourth Proportional to 124,016.49, 171,227.28 and 83,241.77

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Solution

The fourth proportional to 124,016.49, 171,227.28 and 83,241.77 is: 114,930.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,016.49 : 171,227.28 = 83,241.77 : x
  2. Step 2: Convert to fraction form
    124,016.49/171,227.28 = 83,241.77/x
  3. Step 3: Cross multiply
    124,016.49x = 171,227.28 × 83,241.77
  4. Step 4: Simplify right side
    124,016.49x = 14,253,262,079.45
  5. Step 5: Solve for x
    x = 14,253,262,079.45/124,016.49
  6. Step 6: Final answer
    x = 114,930.38

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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.