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Finding the Fourth Proportional to 175,491.21, 263,264.34 and 75,679.77

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Solution

The fourth proportional to 175,491.21, 263,264.34 and 75,679.77 is: 113,531.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,491.21 : 263,264.34 = 75,679.77 : x
  2. Step 2: Convert to fraction form
    175,491.21/263,264.34 = 75,679.77/x
  3. Step 3: Cross multiply
    175,491.21x = 263,264.34 × 75,679.77
  4. Step 4: Simplify right side
    175,491.21x = 19,923,784,700.40
  5. Step 5: Solve for x
    x = 19,923,784,700.40/175,491.21
  6. Step 6: Final answer
    x = 113,531.53

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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.