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Finding the Fourth Proportional to 222,428.16, 306,951.12 and 121,824

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Solution

The fourth proportional to 222,428.16, 306,951.12 and 121,824 is: 168,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,428.16 : 306,951.12 = 121,824 : x
  2. Step 2: Convert to fraction form
    222,428.16/306,951.12 = 121,824/x
  3. Step 3: Cross multiply
    222,428.16x = 306,951.12 × 121,824
  4. Step 4: Simplify right side
    222,428.16x = 37,394,013,242.88
  5. Step 5: Solve for x
    x = 37,394,013,242.88/222,428.16
  6. Step 6: Final answer
    x = 168,117.26

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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.