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Finding the Fourth Proportional to 175,400.28, 263,139.30 and 81,855

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Solution

The fourth proportional to 175,400.28, 263,139.30 and 81,855 is: 122,800.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,400.28 : 263,139.30 = 81,855 : x
  2. Step 2: Convert to fraction form
    175,400.28/263,139.30 = 81,855/x
  3. Step 3: Cross multiply
    175,400.28x = 263,139.30 × 81,855
  4. Step 4: Simplify right side
    175,400.28x = 21,539,267,401.50
  5. Step 5: Solve for x
    x = 21,539,267,401.50/175,400.28
  6. Step 6: Final answer
    x = 122,800.64

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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.