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Finding the Fourth Proportional to 216,425.28, 298,668.36 and 120,936

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Solution

The fourth proportional to 216,425.28, 298,668.36 and 120,936 is: 166,892.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,425.28 : 298,668.36 = 120,936 : x
  2. Step 2: Convert to fraction form
    216,425.28/298,668.36 = 120,936/x
  3. Step 3: Cross multiply
    216,425.28x = 298,668.36 × 120,936
  4. Step 4: Simplify right side
    216,425.28x = 36,119,756,784.96
  5. Step 5: Solve for x
    x = 36,119,756,784.96/216,425.28
  6. Step 6: Final answer
    x = 166,892.50

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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.