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Finding the Fourth Proportional to 229,959.03, 317,163.41 and 149,412.73

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Solution

The fourth proportional to 229,959.03, 317,163.41 and 149,412.73 is: 206,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,959.03 : 317,163.41 = 149,412.73 : x
  2. Step 2: Convert to fraction form
    229,959.03/317,163.41 = 149,412.73/x
  3. Step 3: Cross multiply
    229,959.03x = 317,163.41 × 149,412.73
  4. Step 4: Simplify right side
    229,959.03x = 47,388,249,877.31
  5. Step 5: Solve for x
    x = 47,388,249,877.31/229,959.03
  6. Step 6: Final answer
    x = 206,072.58

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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.