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Finding the Fourth Proportional to 232,323, 320,556.30 and 136,794.84

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Solution

The fourth proportional to 232,323, 320,556.30 and 136,794.84 is: 188,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,323 : 320,556.30 = 136,794.84 : x
  2. Step 2: Convert to fraction form
    232,323/320,556.30 = 136,794.84/x
  3. Step 3: Cross multiply
    232,323x = 320,556.30 × 136,794.84
  4. Step 4: Simplify right side
    232,323x = 43,850,447,769.49
  5. Step 5: Solve for x
    x = 43,850,447,769.49/232,323
  6. Step 6: Final answer
    x = 188,747.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.