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Finding the Fourth Proportional to 203,198.49, 280,401.58 and 112,549.16

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Solution

The fourth proportional to 203,198.49, 280,401.58 and 112,549.16 is: 155,311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,198.49 : 280,401.58 = 112,549.16 : x
  2. Step 2: Convert to fraction form
    203,198.49/280,401.58 = 112,549.16/x
  3. Step 3: Cross multiply
    203,198.49x = 280,401.58 × 112,549.16
  4. Step 4: Simplify right side
    203,198.49x = 31,558,963,133.36
  5. Step 5: Solve for x
    x = 31,558,963,133.36/203,198.49
  6. Step 6: Final answer
    x = 155,311.01

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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.