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Finding the Fourth Proportional to 146,957.88, 202,847.70 and 86,523.72

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Solution

The fourth proportional to 146,957.88, 202,847.70 and 86,523.72 is: 119,429.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,957.88 : 202,847.70 = 86,523.72 : x
  2. Step 2: Convert to fraction form
    146,957.88/202,847.70 = 86,523.72/x
  3. Step 3: Cross multiply
    146,957.88x = 202,847.70 × 86,523.72
  4. Step 4: Simplify right side
    146,957.88x = 17,551,137,597.44
  5. Step 5: Solve for x
    x = 17,551,137,597.44/146,957.88
  6. Step 6: Final answer
    x = 119,429.71

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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.