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Finding the Fourth Proportional to 76,493.20, 114,739.80 and 68,717.20

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Solution

The fourth proportional to 76,493.20, 114,739.80 and 68,717.20 is: 103,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493.20 : 114,739.80 = 68,717.20 : x
  2. Step 2: Convert to fraction form
    76,493.20/114,739.80 = 68,717.20/x
  3. Step 3: Cross multiply
    76,493.20x = 114,739.80 × 68,717.20
  4. Step 4: Simplify right side
    76,493.20x = 7,884,597,784.56
  5. Step 5: Solve for x
    x = 7,884,597,784.56/76,493.20
  6. Step 6: Final answer
    x = 103,075.80

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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.