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Finding the Fourth Proportional to 123,212.50, 184,820.13 and 38,970.63

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Solution

The fourth proportional to 123,212.50, 184,820.13 and 38,970.63 is: 58,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,212.50 : 184,820.13 = 38,970.63 : x
  2. Step 2: Convert to fraction form
    123,212.50/184,820.13 = 38,970.63/x
  3. Step 3: Cross multiply
    123,212.50x = 184,820.13 × 38,970.63
  4. Step 4: Simplify right side
    123,212.50x = 7,202,556,902.78
  5. Step 5: Solve for x
    x = 7,202,556,902.78/123,212.50
  6. Step 6: Final answer
    x = 58,456.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.