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Finding the Fourth Proportional to 280,021.41, 420,172.23 and 128,218.17

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Solution

The fourth proportional to 280,021.41, 420,172.23 and 128,218.17 is: 192,391.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,021.41 : 420,172.23 = 128,218.17 : x
  2. Step 2: Convert to fraction form
    280,021.41/420,172.23 = 128,218.17/x
  3. Step 3: Cross multiply
    280,021.41x = 420,172.23 × 128,218.17
  4. Step 4: Simplify right side
    280,021.41x = 53,873,714,415.42
  5. Step 5: Solve for x
    x = 53,873,714,415.42/280,021.41
  6. Step 6: Final answer
    x = 192,391.41

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