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Finding the Fourth Proportional to 114,229.37, 171,339.81 and 29,988.77

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Solution

The fourth proportional to 114,229.37, 171,339.81 and 29,988.77 is: 44,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,229.37 : 171,339.81 = 29,988.77 : x
  2. Step 2: Convert to fraction form
    114,229.37/171,339.81 = 29,988.77/x
  3. Step 3: Cross multiply
    114,229.37x = 171,339.81 × 29,988.77
  4. Step 4: Simplify right side
    114,229.37x = 5,138,269,184.78
  5. Step 5: Solve for x
    x = 5,138,269,184.78/114,229.37
  6. Step 6: Final answer
    x = 44,982.03

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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.