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Finding the Fourth Proportional to 233,042.97, 321,551.07 and 136,228.13

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Solution

The fourth proportional to 233,042.97, 321,551.07 and 136,228.13 is: 187,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,042.97 : 321,551.07 = 136,228.13 : x
  2. Step 2: Convert to fraction form
    233,042.97/321,551.07 = 136,228.13/x
  3. Step 3: Cross multiply
    233,042.97x = 321,551.07 × 136,228.13
  4. Step 4: Simplify right side
    233,042.97x = 43,804,300,052.80
  5. Step 5: Solve for x
    x = 43,804,300,052.80/233,042.97
  6. Step 6: Final answer
    x = 187,966.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.