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Finding the Fourth Proportional to 203,206.53, 304,698.69 and 161,355.45

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Solution

The fourth proportional to 203,206.53, 304,698.69 and 161,355.45 is: 241,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,206.53 : 304,698.69 = 161,355.45 : x
  2. Step 2: Convert to fraction form
    203,206.53/304,698.69 = 161,355.45/x
  3. Step 3: Cross multiply
    203,206.53x = 304,698.69 × 161,355.45
  4. Step 4: Simplify right side
    203,206.53x = 49,164,794,239.36
  5. Step 5: Solve for x
    x = 49,164,794,239.36/203,206.53
  6. Step 6: Final answer
    x = 241,944.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.