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Finding the Fourth Proportional to 233,075.92, 321,697.92 and 165,022.24

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Solution

The fourth proportional to 233,075.92, 321,697.92 and 165,022.24 is: 227,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,075.92 : 321,697.92 = 165,022.24 : x
  2. Step 2: Convert to fraction form
    233,075.92/321,697.92 = 165,022.24/x
  3. Step 3: Cross multiply
    233,075.92x = 321,697.92 × 165,022.24
  4. Step 4: Simplify right side
    233,075.92x = 53,087,311,361.74
  5. Step 5: Solve for x
    x = 53,087,311,361.74/233,075.92
  6. Step 6: Final answer
    x = 227,768.32

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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.