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Finding the Fourth Proportional to 146,855.67, 202,664.93 and 83,193.45

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Solution

The fourth proportional to 146,855.67, 202,664.93 and 83,193.45 is: 114,809.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,855.67 : 202,664.93 = 83,193.45 : x
  2. Step 2: Convert to fraction form
    146,855.67/202,664.93 = 83,193.45/x
  3. Step 3: Cross multiply
    146,855.67x = 202,664.93 × 83,193.45
  4. Step 4: Simplify right side
    146,855.67x = 16,860,394,304.74
  5. Step 5: Solve for x
    x = 16,860,394,304.74/146,855.67
  6. Step 6: Final answer
    x = 114,809.28

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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.