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Finding the Fourth Proportional to 128,725.88, 193,079.21 and 65,506.50

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Solution

The fourth proportional to 128,725.88, 193,079.21 and 65,506.50 is: 98,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,725.88 : 193,079.21 = 65,506.50 : x
  2. Step 2: Convert to fraction form
    128,725.88/193,079.21 = 65,506.50/x
  3. Step 3: Cross multiply
    128,725.88x = 193,079.21 × 65,506.50
  4. Step 4: Simplify right side
    128,725.88x = 12,647,942,942.33
  5. Step 5: Solve for x
    x = 12,647,942,942.33/128,725.88
  6. Step 6: Final answer
    x = 98,254.86

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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.