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Finding the Fourth Proportional to 308,082.84, 462,120.60 and 97,722.60

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Solution

The fourth proportional to 308,082.84, 462,120.60 and 97,722.60 is: 146,582.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,082.84 : 462,120.60 = 97,722.60 : x
  2. Step 2: Convert to fraction form
    308,082.84/462,120.60 = 97,722.60/x
  3. Step 3: Cross multiply
    308,082.84x = 462,120.60 × 97,722.60
  4. Step 4: Simplify right side
    308,082.84x = 45,159,626,545.56
  5. Step 5: Solve for x
    x = 45,159,626,545.56/308,082.84
  6. Step 6: Final answer
    x = 146,582.74

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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.