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Finding the Fourth Proportional to 150,336, 207,464.09 and 83,268

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Solution

The fourth proportional to 150,336, 207,464.09 and 83,268 is: 114,910.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,336 : 207,464.09 = 83,268 : x
  2. Step 2: Convert to fraction form
    150,336/207,464.09 = 83,268/x
  3. Step 3: Cross multiply
    150,336x = 207,464.09 × 83,268
  4. Step 4: Simplify right side
    150,336x = 17,275,119,429.78
  5. Step 5: Solve for x
    x = 17,275,119,429.78/150,336
  6. Step 6: Final answer
    x = 114,910.06

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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.