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Finding the Fourth Proportional to 290,112.28, 435,189.50 and 121,463

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Solution

The fourth proportional to 290,112.28, 435,189.50 and 121,463 is: 182,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,112.28 : 435,189.50 = 121,463 : x
  2. Step 2: Convert to fraction form
    290,112.28/435,189.50 = 121,463/x
  3. Step 3: Cross multiply
    290,112.28x = 435,189.50 × 121,463
  4. Step 4: Simplify right side
    290,112.28x = 52,859,422,238.50
  5. Step 5: Solve for x
    x = 52,859,422,238.50/290,112.28
  6. Step 6: Final answer
    x = 182,203.33

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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.