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Finding the Fourth Proportional to 224,616.14, 309,933.72 and 132,722.66

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Solution

The fourth proportional to 224,616.14, 309,933.72 and 132,722.66 is: 183,135.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,616.14 : 309,933.72 = 132,722.66 : x
  2. Step 2: Convert to fraction form
    224,616.14/309,933.72 = 132,722.66/x
  3. Step 3: Cross multiply
    224,616.14x = 309,933.72 × 132,722.66
  4. Step 4: Simplify right side
    224,616.14x = 41,135,227,742.10
  5. Step 5: Solve for x
    x = 41,135,227,742.10/224,616.14
  6. Step 6: Final answer
    x = 183,135.67

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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.