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Finding the Fourth Proportional to 233,584.56, 322,347 and 132,982.56

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Solution

The fourth proportional to 233,584.56, 322,347 and 132,982.56 is: 183,516.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,584.56 : 322,347 = 132,982.56 : x
  2. Step 2: Convert to fraction form
    233,584.56/322,347 = 132,982.56/x
  3. Step 3: Cross multiply
    233,584.56x = 322,347 × 132,982.56
  4. Step 4: Simplify right side
    233,584.56x = 42,866,529,268.32
  5. Step 5: Solve for x
    x = 42,866,529,268.32/233,584.56
  6. Step 6: Final answer
    x = 183,516.11

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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.