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Finding the Fourth Proportional to 146,891.86, 202,710.27 and 83,241.79

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Solution

The fourth proportional to 146,891.86, 202,710.27 and 83,241.79 is: 114,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,891.86 : 202,710.27 = 83,241.79 : x
  2. Step 2: Convert to fraction form
    146,891.86/202,710.27 = 83,241.79/x
  3. Step 3: Cross multiply
    146,891.86x = 202,710.27 × 83,241.79
  4. Step 4: Simplify right side
    146,891.86x = 16,873,965,726.18
  5. Step 5: Solve for x
    x = 16,873,965,726.18/146,891.86
  6. Step 6: Final answer
    x = 114,873.39

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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.