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Finding the Fourth Proportional to 307,167.68, 423,797.45 and 178,080.38

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Solution

The fourth proportional to 307,167.68, 423,797.45 and 178,080.38 is: 245,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,167.68 : 423,797.45 = 178,080.38 : x
  2. Step 2: Convert to fraction form
    307,167.68/423,797.45 = 178,080.38/x
  3. Step 3: Cross multiply
    307,167.68x = 423,797.45 × 178,080.38
  4. Step 4: Simplify right side
    307,167.68x = 75,470,012,443.73
  5. Step 5: Solve for x
    x = 75,470,012,443.73/307,167.68
  6. Step 6: Final answer
    x = 245,696.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.