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Finding the Fourth Proportional to 132,957.12, 199,323.84 and 61,843.62

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Solution

The fourth proportional to 132,957.12, 199,323.84 and 61,843.62 is: 92,713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,957.12 : 199,323.84 = 61,843.62 : x
  2. Step 2: Convert to fraction form
    132,957.12/199,323.84 = 61,843.62/x
  3. Step 3: Cross multiply
    132,957.12x = 199,323.84 × 61,843.62
  4. Step 4: Simplify right side
    132,957.12x = 12,326,907,817.90
  5. Step 5: Solve for x
    x = 12,326,907,817.90/132,957.12
  6. Step 6: Final answer
    x = 92,713.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.