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Finding the Fourth Proportional to 308,325.28, 462,481.44 and 142,113.28

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Solution

The fourth proportional to 308,325.28, 462,481.44 and 142,113.28 is: 213,166.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,325.28 : 462,481.44 = 142,113.28 : x
  2. Step 2: Convert to fraction form
    308,325.28/462,481.44 = 142,113.28/x
  3. Step 3: Cross multiply
    308,325.28x = 462,481.44 × 142,113.28
  4. Step 4: Simplify right side
    308,325.28x = 65,724,754,377.52
  5. Step 5: Solve for x
    x = 65,724,754,377.52/308,325.28
  6. Step 6: Final answer
    x = 213,166.93

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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.