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Finding the Fourth Proportional to 123,202.84, 184,827.06 and 38,984.22

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Solution

The fourth proportional to 123,202.84, 184,827.06 and 38,984.22 is: 58,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,202.84 : 184,827.06 = 38,984.22 : x
  2. Step 2: Convert to fraction form
    123,202.84/184,827.06 = 38,984.22/x
  3. Step 3: Cross multiply
    123,202.84x = 184,827.06 × 38,984.22
  4. Step 4: Simplify right side
    123,202.84x = 7,205,338,768.99
  5. Step 5: Solve for x
    x = 7,205,338,768.99/123,202.84
  6. Step 6: Final answer
    x = 58,483.54

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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.