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Finding the Fourth Proportional to 233,538, 322,290.12 and 127,554

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Solution

The fourth proportional to 233,538, 322,290.12 and 127,554 is: 176,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,538 : 322,290.12 = 127,554 : x
  2. Step 2: Convert to fraction form
    233,538/322,290.12 = 127,554/x
  3. Step 3: Cross multiply
    233,538x = 322,290.12 × 127,554
  4. Step 4: Simplify right side
    233,538x = 41,109,393,966.48
  5. Step 5: Solve for x
    x = 41,109,393,966.48/233,538
  6. Step 6: Final answer
    x = 176,028.71

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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.