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Finding the Fourth Proportional to 175,495.28, 263,281.80 and 81,950

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Solution

The fourth proportional to 175,495.28, 263,281.80 and 81,950 is: 122,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,495.28 : 263,281.80 = 81,950 : x
  2. Step 2: Convert to fraction form
    175,495.28/263,281.80 = 81,950/x
  3. Step 3: Cross multiply
    175,495.28x = 263,281.80 × 81,950
  4. Step 4: Simplify right side
    175,495.28x = 21,575,943,510
  5. Step 5: Solve for x
    x = 21,575,943,510/175,495.28
  6. Step 6: Final answer
    x = 122,943.16

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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.