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Finding the Fourth Proportional to 222,033.13, 306,413 and 121,431.13

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Solution

The fourth proportional to 222,033.13, 306,413 and 121,431.13 is: 167,578.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,033.13 : 306,413 = 121,431.13 : x
  2. Step 2: Convert to fraction form
    222,033.13/306,413 = 121,431.13/x
  3. Step 3: Cross multiply
    222,033.13x = 306,413 × 121,431.13
  4. Step 4: Simplify right side
    222,033.13x = 37,208,076,836.69
  5. Step 5: Solve for x
    x = 37,208,076,836.69/222,033.13
  6. Step 6: Final answer
    x = 167,578.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.