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Finding the Fourth Proportional to 308,082.20, 462,171.90 and 97,741.40

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Solution

The fourth proportional to 308,082.20, 462,171.90 and 97,741.40 is: 146,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,082.20 : 462,171.90 = 97,741.40 : x
  2. Step 2: Convert to fraction form
    308,082.20/462,171.90 = 97,741.40/x
  3. Step 3: Cross multiply
    308,082.20x = 462,171.90 × 97,741.40
  4. Step 4: Simplify right side
    308,082.20x = 45,173,328,546.66
  5. Step 5: Solve for x
    x = 45,173,328,546.66/308,082.20
  6. Step 6: Final answer
    x = 146,627.52

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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.