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Finding the Fourth Proportional to 204,816.10, 307,224.15 and 120,835.30

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Solution

The fourth proportional to 204,816.10, 307,224.15 and 120,835.30 is: 181,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,816.10 : 307,224.15 = 120,835.30 : x
  2. Step 2: Convert to fraction form
    204,816.10/307,224.15 = 120,835.30/x
  3. Step 3: Cross multiply
    204,816.10x = 307,224.15 × 120,835.30
  4. Step 4: Simplify right side
    204,816.10x = 37,123,522,332.50
  5. Step 5: Solve for x
    x = 37,123,522,332.50/204,816.10
  6. Step 6: Final answer
    x = 181,252.95

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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.