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Finding the Fourth Proportional to 269,534.80, 403,816.20 and 128,983.60

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Solution

The fourth proportional to 269,534.80, 403,816.20 and 128,983.60 is: 193,242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,534.80 : 403,816.20 = 128,983.60 : x
  2. Step 2: Convert to fraction form
    269,534.80/403,816.20 = 128,983.60/x
  3. Step 3: Cross multiply
    269,534.80x = 403,816.20 × 128,983.60
  4. Step 4: Simplify right side
    269,534.80x = 52,085,667,214.32
  5. Step 5: Solve for x
    x = 52,085,667,214.32/269,534.80
  6. Step 6: Final answer
    x = 193,242.83

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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.