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Finding the Fourth Proportional to 232,721.28, 321,302.28 and 161,075.16

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Solution

The fourth proportional to 232,721.28, 321,302.28 and 161,075.16 is: 222,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,721.28 : 321,302.28 = 161,075.16 : x
  2. Step 2: Convert to fraction form
    232,721.28/321,302.28 = 161,075.16/x
  3. Step 3: Cross multiply
    232,721.28x = 321,302.28 × 161,075.16
  4. Step 4: Simplify right side
    232,721.28x = 51,753,816,159.36
  5. Step 5: Solve for x
    x = 51,753,816,159.36/232,721.28
  6. Step 6: Final answer
    x = 222,385.41

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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.