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Finding the Fourth Proportional to 119,249.82, 164,709.05 and 86,933.25

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Solution

The fourth proportional to 119,249.82, 164,709.05 and 86,933.25 is: 120,073.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,249.82 : 164,709.05 = 86,933.25 : x
  2. Step 2: Convert to fraction form
    119,249.82/164,709.05 = 86,933.25/x
  3. Step 3: Cross multiply
    119,249.82x = 164,709.05 × 86,933.25
  4. Step 4: Simplify right side
    119,249.82x = 14,318,692,586.25
  5. Step 5: Solve for x
    x = 14,318,692,586.25/119,249.82
  6. Step 6: Final answer
    x = 120,073.08

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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.