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Finding the Fourth Proportional to 202,268.40, 302,711.40 and 177,385.20

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Solution

The fourth proportional to 202,268.40, 302,711.40 and 177,385.20 is: 265,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,268.40 : 302,711.40 = 177,385.20 : x
  2. Step 2: Convert to fraction form
    202,268.40/302,711.40 = 177,385.20/x
  3. Step 3: Cross multiply
    202,268.40x = 302,711.40 × 177,385.20
  4. Step 4: Simplify right side
    202,268.40x = 53,696,522,231.28
  5. Step 5: Solve for x
    x = 53,696,522,231.28/202,268.40
  6. Step 6: Final answer
    x = 265,471.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.