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Finding the Fourth Proportional to 232,983.73, 321,130.38 and 164,913.40

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Solution

The fourth proportional to 232,983.73, 321,130.38 and 164,913.40 is: 227,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,983.73 : 321,130.38 = 164,913.40 : x
  2. Step 2: Convert to fraction form
    232,983.73/321,130.38 = 164,913.40/x
  3. Step 3: Cross multiply
    232,983.73x = 321,130.38 × 164,913.40
  4. Step 4: Simplify right side
    232,983.73x = 52,958,702,809.09
  5. Step 5: Solve for x
    x = 52,958,702,809.09/232,983.73
  6. Step 6: Final answer
    x = 227,306.44

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Why These Related Problems?

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