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Finding the Fourth Proportional to 202,958.45, 280,075.77 and 112,318.24

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Solution

The fourth proportional to 202,958.45, 280,075.77 and 112,318.24 is: 154,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,958.45 : 280,075.77 = 112,318.24 : x
  2. Step 2: Convert to fraction form
    202,958.45/280,075.77 = 112,318.24/x
  3. Step 3: Cross multiply
    202,958.45x = 280,075.77 × 112,318.24
  4. Step 4: Simplify right side
    202,958.45x = 31,457,617,553.04
  5. Step 5: Solve for x
    x = 31,457,617,553.04/202,958.45
  6. Step 6: Final answer
    x = 154,995.36

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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.