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Finding the Fourth Proportional to 117,163.50, 175,747.44 and 42,289.26

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Solution

The fourth proportional to 117,163.50, 175,747.44 and 42,289.26 is: 63,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,163.50 : 175,747.44 = 42,289.26 : x
  2. Step 2: Convert to fraction form
    117,163.50/175,747.44 = 42,289.26/x
  3. Step 3: Cross multiply
    117,163.50x = 175,747.44 × 42,289.26
  4. Step 4: Simplify right side
    117,163.50x = 7,432,229,184.49
  5. Step 5: Solve for x
    x = 7,432,229,184.49/117,163.50
  6. Step 6: Final answer
    x = 63,434.68

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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.