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Finding the Fourth Proportional to 203,202, 280,428.72 and 122,628.12

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Solution

The fourth proportional to 203,202, 280,428.72 and 122,628.12 is: 169,232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,202 : 280,428.72 = 122,628.12 : x
  2. Step 2: Convert to fraction form
    203,202/280,428.72 = 122,628.12/x
  3. Step 3: Cross multiply
    203,202x = 280,428.72 × 122,628.12
  4. Step 4: Simplify right side
    203,202x = 34,388,446,727.61
  5. Step 5: Solve for x
    x = 34,388,446,727.61/203,202
  6. Step 6: Final answer
    x = 169,232.82

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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.