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Finding the Fourth Proportional to 216,426.28, 298,669.74 and 120,937

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Solution

The fourth proportional to 216,426.28, 298,669.74 and 120,937 is: 166,893.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,426.28 : 298,669.74 = 120,937 : x
  2. Step 2: Convert to fraction form
    216,426.28/298,669.74 = 120,937/x
  3. Step 3: Cross multiply
    216,426.28x = 298,669.74 × 120,937
  4. Step 4: Simplify right side
    216,426.28x = 36,120,222,346.38
  5. Step 5: Solve for x
    x = 36,120,222,346.38/216,426.28
  6. Step 6: Final answer
    x = 166,893.88

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Why These Related Problems?

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