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Finding the Fourth Proportional to 232,392.96, 347,932.64 and 147,944

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Solution

The fourth proportional to 232,392.96, 347,932.64 and 147,944 is: 221,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,392.96 : 347,932.64 = 147,944 : x
  2. Step 2: Convert to fraction form
    232,392.96/347,932.64 = 147,944/x
  3. Step 3: Cross multiply
    232,392.96x = 347,932.64 × 147,944
  4. Step 4: Simplify right side
    232,392.96x = 51,474,546,492.16
  5. Step 5: Solve for x
    x = 51,474,546,492.16/232,392.96
  6. Step 6: Final answer
    x = 221,497.87

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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.