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Finding the Fourth Proportional to 213,471.32, 320,259.53 and 150,414.60

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Solution

The fourth proportional to 213,471.32, 320,259.53 and 150,414.60 is: 225,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,471.32 : 320,259.53 = 150,414.60 : x
  2. Step 2: Convert to fraction form
    213,471.32/320,259.53 = 150,414.60/x
  3. Step 3: Cross multiply
    213,471.32x = 320,259.53 × 150,414.60
  4. Step 4: Simplify right side
    213,471.32x = 48,171,709,101.14
  5. Step 5: Solve for x
    x = 48,171,709,101.14/213,471.32
  6. Step 6: Final answer
    x = 225,658.93

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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.