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Finding the Fourth Proportional to 233,524, 322,263.48 and 132,922

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Solution

The fourth proportional to 233,524, 322,263.48 and 132,922 is: 183,432.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,524 : 322,263.48 = 132,922 : x
  2. Step 2: Convert to fraction form
    233,524/322,263.48 = 132,922/x
  3. Step 3: Cross multiply
    233,524x = 322,263.48 × 132,922
  4. Step 4: Simplify right side
    233,524x = 42,835,906,288.56
  5. Step 5: Solve for x
    x = 42,835,906,288.56/233,524
  6. Step 6: Final answer
    x = 183,432.56

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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.