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Finding the Fourth Proportional to 123,722.37, 185,630.94 and 52,661.88

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Solution

The fourth proportional to 123,722.37, 185,630.94 and 52,661.88 is: 79,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,722.37 : 185,630.94 = 52,661.88 : x
  2. Step 2: Convert to fraction form
    123,722.37/185,630.94 = 52,661.88/x
  3. Step 3: Cross multiply
    123,722.37x = 185,630.94 × 52,661.88
  4. Step 4: Simplify right side
    123,722.37x = 9,775,674,286.57
  5. Step 5: Solve for x
    x = 9,775,674,286.57/123,722.37
  6. Step 6: Final answer
    x = 79,012.99

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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.