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Finding the Fourth Proportional to 308,082.30, 462,123.45 and 97,736.70

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Solution

The fourth proportional to 308,082.30, 462,123.45 and 97,736.70 is: 146,605.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,082.30 : 462,123.45 = 97,736.70 : x
  2. Step 2: Convert to fraction form
    308,082.30/462,123.45 = 97,736.70/x
  3. Step 3: Cross multiply
    308,082.30x = 462,123.45 × 97,736.70
  4. Step 4: Simplify right side
    308,082.30x = 45,166,420,995.62
  5. Step 5: Solve for x
    x = 45,166,420,995.62/308,082.30
  6. Step 6: Final answer
    x = 146,605.05

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1.5x scale

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.