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Finding the Fourth Proportional to 223,119.86, 307,791.32 and 142,462.58

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Solution

The fourth proportional to 223,119.86, 307,791.32 and 142,462.58 is: 196,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,119.86 : 307,791.32 = 142,462.58 : x
  2. Step 2: Convert to fraction form
    223,119.86/307,791.32 = 142,462.58/x
  3. Step 3: Cross multiply
    223,119.86x = 307,791.32 × 142,462.58
  4. Step 4: Simplify right side
    223,119.86x = 43,848,745,548.81
  5. Step 5: Solve for x
    x = 43,848,745,548.81/223,119.86
  6. Step 6: Final answer
    x = 196,525.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.