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Finding the Fourth Proportional to 233,568.52, 322,324.92 and 132,966.52

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Solution

The fourth proportional to 233,568.52, 322,324.92 and 132,966.52 is: 183,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,568.52 : 322,324.92 = 132,966.52 : x
  2. Step 2: Convert to fraction form
    233,568.52/322,324.92 = 132,966.52/x
  3. Step 3: Cross multiply
    233,568.52x = 322,324.92 × 132,966.52
  4. Step 4: Simplify right side
    233,568.52x = 42,858,422,921.68
  5. Step 5: Solve for x
    x = 42,858,422,921.68/233,568.52
  6. Step 6: Final answer
    x = 183,494.00

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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.