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Finding the Fourth Proportional to 123,201.65, 184,825.27 and 38,983.02

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Solution

The fourth proportional to 123,201.65, 184,825.27 and 38,983.02 is: 58,481.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,201.65 : 184,825.27 = 38,983.02 : x
  2. Step 2: Convert to fraction form
    123,201.65/184,825.27 = 38,983.02/x
  3. Step 3: Cross multiply
    123,201.65x = 184,825.27 × 38,983.02
  4. Step 4: Simplify right side
    123,201.65x = 7,205,047,196.92
  5. Step 5: Solve for x
    x = 7,205,047,196.92/123,201.65
  6. Step 6: Final answer
    x = 58,481.74

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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.