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Finding the Fourth Proportional to 232,796.89, 349,018.32 and 120,405.54

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Solution

The fourth proportional to 232,796.89, 349,018.32 and 120,405.54 is: 180,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,796.89 : 349,018.32 = 120,405.54 : x
  2. Step 2: Convert to fraction form
    232,796.89/349,018.32 = 120,405.54/x
  3. Step 3: Cross multiply
    232,796.89x = 349,018.32 × 120,405.54
  4. Step 4: Simplify right side
    232,796.89x = 42,023,738,409.32
  5. Step 5: Solve for x
    x = 42,023,738,409.32/232,796.89
  6. Step 6: Final answer
    x = 180,516.76

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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.