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Finding the Fourth Proportional to 322,109.71, 483,057.25 and 129,934.51

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Solution

The fourth proportional to 322,109.71, 483,057.25 and 129,934.51 is: 194,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,109.71 : 483,057.25 = 129,934.51 : x
  2. Step 2: Convert to fraction form
    322,109.71/483,057.25 = 129,934.51/x
  3. Step 3: Cross multiply
    322,109.71x = 483,057.25 × 129,934.51
  4. Step 4: Simplify right side
    322,109.71x = 62,765,805,548.22
  5. Step 5: Solve for x
    x = 62,765,805,548.22/322,109.71
  6. Step 6: Final answer
    x = 194,858.47

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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.