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Finding the Fourth Proportional to 123,314.64, 185,003.28 and 34,568.52

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Solution

The fourth proportional to 123,314.64, 185,003.28 and 34,568.52 is: 51,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,314.64 : 185,003.28 = 34,568.52 : x
  2. Step 2: Convert to fraction form
    123,314.64/185,003.28 = 34,568.52/x
  3. Step 3: Cross multiply
    123,314.64x = 185,003.28 × 34,568.52
  4. Step 4: Simplify right side
    123,314.64x = 6,395,289,584.75
  5. Step 5: Solve for x
    x = 6,395,289,584.75/123,314.64
  6. Step 6: Final answer
    x = 51,861.56

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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.