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Finding the Fourth Proportional to 288,213.92, 432,025.44 and 119,831.96

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Solution

The fourth proportional to 288,213.92, 432,025.44 and 119,831.96 is: 179,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,213.92 : 432,025.44 = 119,831.96 : x
  2. Step 2: Convert to fraction form
    288,213.92/432,025.44 = 119,831.96/x
  3. Step 3: Cross multiply
    288,213.92x = 432,025.44 × 119,831.96
  4. Step 4: Simplify right side
    288,213.92x = 51,770,455,245.06
  5. Step 5: Solve for x
    x = 51,770,455,245.06/288,213.92
  6. Step 6: Final answer
    x = 179,625.10

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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.