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Finding the Fourth Proportional to 146,863.84, 202,682.12 and 83,202.16

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Solution

The fourth proportional to 146,863.84, 202,682.12 and 83,202.16 is: 114,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,863.84 : 202,682.12 = 83,202.16 : x
  2. Step 2: Convert to fraction form
    146,863.84/202,682.12 = 83,202.16/x
  3. Step 3: Cross multiply
    146,863.84x = 202,682.12 × 83,202.16
  4. Step 4: Simplify right side
    146,863.84x = 16,863,590,177.38
  5. Step 5: Solve for x
    x = 16,863,590,177.38/146,863.84
  6. Step 6: Final answer
    x = 114,824.66

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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.