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Finding the Fourth Proportional to 292,238.33, 437,969.96 and 150,077.85

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Solution

The fourth proportional to 292,238.33, 437,969.96 and 150,077.85 is: 224,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,238.33 : 437,969.96 = 150,077.85 : x
  2. Step 2: Convert to fraction form
    292,238.33/437,969.96 = 150,077.85/x
  3. Step 3: Cross multiply
    292,238.33x = 437,969.96 × 150,077.85
  4. Step 4: Simplify right side
    292,238.33x = 65,729,589,211.00
  5. Step 5: Solve for x
    x = 65,729,589,211.00/292,238.33
  6. Step 6: Final answer
    x = 224,917.76

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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.