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Finding the Fourth Proportional to 123,208.74, 184,835.92 and 38,990.10

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Solution

The fourth proportional to 123,208.74, 184,835.92 and 38,990.10 is: 58,492.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,208.74 : 184,835.92 = 38,990.10 : x
  2. Step 2: Convert to fraction form
    123,208.74/184,835.92 = 38,990.10/x
  3. Step 3: Cross multiply
    123,208.74x = 184,835.92 × 38,990.10
  4. Step 4: Simplify right side
    123,208.74x = 7,206,771,004.39
  5. Step 5: Solve for x
    x = 7,206,771,004.39/123,208.74
  6. Step 6: Final answer
    x = 58,492.37

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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.