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Finding the Fourth Proportional to 235,629, 325,165.50 and 140,133.60

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Solution

The fourth proportional to 235,629, 325,165.50 and 140,133.60 is: 193,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,629 : 325,165.50 = 140,133.60 : x
  2. Step 2: Convert to fraction form
    235,629/325,165.50 = 140,133.60/x
  3. Step 3: Cross multiply
    235,629x = 325,165.50 × 140,133.60
  4. Step 4: Simplify right side
    235,629x = 45,566,612,110.80
  5. Step 5: Solve for x
    x = 45,566,612,110.80/235,629
  6. Step 6: Final answer
    x = 193,382.87

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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.