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Finding the Fourth Proportional to 182,788.96, 274,206 and 89,224

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Solution

The fourth proportional to 182,788.96, 274,206 and 89,224 is: 133,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,788.96 : 274,206 = 89,224 : x
  2. Step 2: Convert to fraction form
    182,788.96/274,206 = 89,224/x
  3. Step 3: Cross multiply
    182,788.96x = 274,206 × 89,224
  4. Step 4: Simplify right side
    182,788.96x = 24,465,756,144
  5. Step 5: Solve for x
    x = 24,465,756,144/182,788.96
  6. Step 6: Final answer
    x = 133,847.01

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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.