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Finding the Fourth Proportional to 203,524.72, 305,462.76 and 141,238.96

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Solution

The fourth proportional to 203,524.72, 305,462.76 and 141,238.96 is: 211,980.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,524.72 : 305,462.76 = 141,238.96 : x
  2. Step 2: Convert to fraction form
    203,524.72/305,462.76 = 141,238.96/x
  3. Step 3: Cross multiply
    203,524.72x = 305,462.76 × 141,238.96
  4. Step 4: Simplify right side
    203,524.72x = 43,143,242,541.13
  5. Step 5: Solve for x
    x = 43,143,242,541.13/203,524.72
  6. Step 6: Final answer
    x = 211,980.36

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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.