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Finding the Fourth Proportional to 265,335.89, 398,056.37 and 75,797.90

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Solution

The fourth proportional to 265,335.89, 398,056.37 and 75,797.90 is: 113,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,335.89 : 398,056.37 = 75,797.90 : x
  2. Step 2: Convert to fraction form
    265,335.89/398,056.37 = 75,797.90/x
  3. Step 3: Cross multiply
    265,335.89x = 398,056.37 × 75,797.90
  4. Step 4: Simplify right side
    265,335.89x = 30,171,834,558.35
  5. Step 5: Solve for x
    x = 30,171,834,558.35/265,335.89
  6. Step 6: Final answer
    x = 113,711.85

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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.