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Finding the Fourth Proportional to 257,155.88, 385,770.46 and 79,676.84

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Solution

The fourth proportional to 257,155.88, 385,770.46 and 79,676.84 is: 119,526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,155.88 : 385,770.46 = 79,676.84 : x
  2. Step 2: Convert to fraction form
    257,155.88/385,770.46 = 79,676.84/x
  3. Step 3: Cross multiply
    257,155.88x = 385,770.46 × 79,676.84
  4. Step 4: Simplify right side
    257,155.88x = 30,736,971,218.15
  5. Step 5: Solve for x
    x = 30,736,971,218.15/257,155.88
  6. Step 6: Final answer
    x = 119,526.61

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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.