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Finding the Fourth Proportional to 146,859.64, 202,659.42 and 83,197.96

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Solution

The fourth proportional to 146,859.64, 202,659.42 and 83,197.96 is: 114,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,859.64 : 202,659.42 = 83,197.96 : x
  2. Step 2: Convert to fraction form
    146,859.64/202,659.42 = 83,197.96/x
  3. Step 3: Cross multiply
    146,859.64x = 202,659.42 × 83,197.96
  4. Step 4: Simplify right side
    146,859.64x = 16,860,850,318.78
  5. Step 5: Solve for x
    x = 16,860,850,318.78/146,859.64
  6. Step 6: Final answer
    x = 114,809.29

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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.