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Finding the Fourth Proportional to 132,953.58, 199,137.36 and 109,895.61

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Solution

The fourth proportional to 132,953.58, 199,137.36 and 109,895.61 is: 164,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,953.58 : 199,137.36 = 109,895.61 : x
  2. Step 2: Convert to fraction form
    132,953.58/199,137.36 = 109,895.61/x
  3. Step 3: Cross multiply
    132,953.58x = 199,137.36 × 109,895.61
  4. Step 4: Simplify right side
    132,953.58x = 21,884,321,940.71
  5. Step 5: Solve for x
    x = 21,884,321,940.71/132,953.58
  6. Step 6: Final answer
    x = 164,601.23

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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.