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Finding the Fourth Proportional to 233,538, 322,282.80 and 132,936

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Solution

The fourth proportional to 233,538, 322,282.80 and 132,936 is: 183,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,538 : 322,282.80 = 132,936 : x
  2. Step 2: Convert to fraction form
    233,538/322,282.80 = 132,936/x
  3. Step 3: Cross multiply
    233,538x = 322,282.80 × 132,936
  4. Step 4: Simplify right side
    233,538x = 42,842,986,300.80
  5. Step 5: Solve for x
    x = 42,842,986,300.80/233,538
  6. Step 6: Final answer
    x = 183,451.88

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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.