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Finding the Fourth Proportional to 232,324, 320,557.68 and 136,795.84

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Solution

The fourth proportional to 232,324, 320,557.68 and 136,795.84 is: 188,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,324 : 320,557.68 = 136,795.84 : x
  2. Step 2: Convert to fraction form
    232,324/320,557.68 = 136,795.84/x
  3. Step 3: Cross multiply
    232,324x = 320,557.68 × 136,795.84
  4. Step 4: Simplify right side
    232,324x = 43,850,957,104.05
  5. Step 5: Solve for x
    x = 43,850,957,104.05/232,324
  6. Step 6: Final answer
    x = 188,749.15

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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.