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Finding the Fourth Proportional to 146,392.58, 202,019.46 and 82,726.58

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Solution

The fourth proportional to 146,392.58, 202,019.46 and 82,726.58 is: 114,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,392.58 : 202,019.46 = 82,726.58 : x
  2. Step 2: Convert to fraction form
    146,392.58/202,019.46 = 82,726.58/x
  3. Step 3: Cross multiply
    146,392.58x = 202,019.46 × 82,726.58
  4. Step 4: Simplify right side
    146,392.58x = 16,712,379,019.25
  5. Step 5: Solve for x
    x = 16,712,379,019.25/146,392.58
  6. Step 6: Final answer
    x = 114,161.38

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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.