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Finding the Fourth Proportional to 203,206.30, 304,661.76 and 84,911.50

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Solution

The fourth proportional to 203,206.30, 304,661.76 and 84,911.50 is: 127,305.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,206.30 : 304,661.76 = 84,911.50 : x
  2. Step 2: Convert to fraction form
    203,206.30/304,661.76 = 84,911.50/x
  3. Step 3: Cross multiply
    203,206.30x = 304,661.76 × 84,911.50
  4. Step 4: Simplify right side
    203,206.30x = 25,869,287,034.24
  5. Step 5: Solve for x
    x = 25,869,287,034.24/203,206.30
  6. Step 6: Final answer
    x = 127,305.54

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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.