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Finding the Fourth Proportional to 122,792.25, 184,259 and 51,709.29

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Solution

The fourth proportional to 122,792.25, 184,259 and 51,709.29 is: 77,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,792.25 : 184,259 = 51,709.29 : x
  2. Step 2: Convert to fraction form
    122,792.25/184,259 = 51,709.29/x
  3. Step 3: Cross multiply
    122,792.25x = 184,259 × 51,709.29
  4. Step 4: Simplify right side
    122,792.25x = 9,527,902,066.11
  5. Step 5: Solve for x
    x = 9,527,902,066.11/122,792.25
  6. Step 6: Final answer
    x = 77,593.68

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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.