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Finding the Fourth Proportional to 202,964.02, 280,228.17 and 126,513.70

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Solution

The fourth proportional to 202,964.02, 280,228.17 and 126,513.70 is: 174,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.02 : 280,228.17 = 126,513.70 : x
  2. Step 2: Convert to fraction form
    202,964.02/280,228.17 = 126,513.70/x
  3. Step 3: Cross multiply
    202,964.02x = 280,228.17 × 126,513.70
  4. Step 4: Simplify right side
    202,964.02x = 35,452,702,630.93
  5. Step 5: Solve for x
    x = 35,452,702,630.93/202,964.02
  6. Step 6: Final answer
    x = 174,674.81

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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.