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Finding the Fourth Proportional to 83,903.20, 125,725.20 and 72,757.60

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Solution

The fourth proportional to 83,903.20, 125,725.20 and 72,757.60 is: 109,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,903.20 : 125,725.20 = 72,757.60 : x
  2. Step 2: Convert to fraction form
    83,903.20/125,725.20 = 72,757.60/x
  3. Step 3: Cross multiply
    83,903.20x = 125,725.20 × 72,757.60
  4. Step 4: Simplify right side
    83,903.20x = 9,147,463,811.52
  5. Step 5: Solve for x
    x = 9,147,463,811.52/83,903.20
  6. Step 6: Final answer
    x = 109,024.02

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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.