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Finding the Fourth Proportional to 201,110.86, 301,394.13 and 76,383.82

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Solution

The fourth proportional to 201,110.86, 301,394.13 and 76,383.82 is: 114,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,110.86 : 301,394.13 = 76,383.82 : x
  2. Step 2: Convert to fraction form
    201,110.86/301,394.13 = 76,383.82/x
  3. Step 3: Cross multiply
    201,110.86x = 301,394.13 × 76,383.82
  4. Step 4: Simplify right side
    201,110.86x = 23,021,634,974.98
  5. Step 5: Solve for x
    x = 23,021,634,974.98/201,110.86
  6. Step 6: Final answer
    x = 114,472.36

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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.