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Finding the Fourth Proportional to 202,964.27, 280,228.52 and 126,513.95

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Solution

The fourth proportional to 202,964.27, 280,228.52 and 126,513.95 is: 174,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.27 : 280,228.52 = 126,513.95 : x
  2. Step 2: Convert to fraction form
    202,964.27/280,228.52 = 126,513.95/x
  3. Step 3: Cross multiply
    202,964.27x = 280,228.52 × 126,513.95
  4. Step 4: Simplify right side
    202,964.27x = 35,452,816,335.28
  5. Step 5: Solve for x
    x = 35,452,816,335.28/202,964.27
  6. Step 6: Final answer
    x = 174,675.16

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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.