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Finding the Fourth Proportional to 290,111.28, 435,188 and 121,462

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Solution

The fourth proportional to 290,111.28, 435,188 and 121,462 is: 182,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,111.28 : 435,188 = 121,462 : x
  2. Step 2: Convert to fraction form
    290,111.28/435,188 = 121,462/x
  3. Step 3: Cross multiply
    290,111.28x = 435,188 × 121,462
  4. Step 4: Simplify right side
    290,111.28x = 52,858,804,856
  5. Step 5: Solve for x
    x = 52,858,804,856/290,111.28
  6. Step 6: Final answer
    x = 182,201.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.