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Finding the Fourth Proportional to 217,466.46, 300,106.08 and 120,672

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Solution

The fourth proportional to 217,466.46, 300,106.08 and 120,672 is: 166,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,466.46 : 300,106.08 = 120,672 : x
  2. Step 2: Convert to fraction form
    217,466.46/300,106.08 = 120,672/x
  3. Step 3: Cross multiply
    217,466.46x = 300,106.08 × 120,672
  4. Step 4: Simplify right side
    217,466.46x = 36,214,400,885.76
  5. Step 5: Solve for x
    x = 36,214,400,885.76/217,466.46
  6. Step 6: Final answer
    x = 166,528.67

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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.