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Finding the Fourth Proportional to 308,338.56, 462,139.68 and 158,650.56

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Solution

The fourth proportional to 308,338.56, 462,139.68 and 158,650.56 is: 237,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,338.56 : 462,139.68 = 158,650.56 : x
  2. Step 2: Convert to fraction form
    308,338.56/462,139.68 = 158,650.56/x
  3. Step 3: Cross multiply
    308,338.56x = 462,139.68 × 158,650.56
  4. Step 4: Simplify right side
    308,338.56x = 73,318,719,030.22
  5. Step 5: Solve for x
    x = 73,318,719,030.22/308,338.56
  6. Step 6: Final answer
    x = 237,786.41

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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.