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Finding the Fourth Proportional to 217,459.44, 300,096.14 and 121,964.12

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Solution

The fourth proportional to 217,459.44, 300,096.14 and 121,964.12 is: 168,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,459.44 : 300,096.14 = 121,964.12 : x
  2. Step 2: Convert to fraction form
    217,459.44/300,096.14 = 121,964.12/x
  3. Step 3: Cross multiply
    217,459.44x = 300,096.14 × 121,964.12
  4. Step 4: Simplify right side
    217,459.44x = 36,600,961,630.50
  5. Step 5: Solve for x
    x = 36,600,961,630.50/217,459.44
  6. Step 6: Final answer
    x = 168,311.67

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1.5x scale

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.